{"id":"https://openalex.org/W3027276274","doi":"https://doi.org/10.1142/s0218196721500090","title":"Restricted classes of veronese type ideals and algebras","display_name":"Restricted classes of veronese type ideals and algebras","publication_year":2020,"publication_date":"2020-11-12","ids":{"openalex":"https://openalex.org/W3027276274","doi":"https://doi.org/10.1142/s0218196721500090","mag":"3027276274"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196721500090","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196721500090","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2005.09601","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041253952","display_name":"Rodica Dinu","orcid":"https://orcid.org/0000-0001-7424-9050"},"institutions":[{"id":"https://openalex.org/I141595442","display_name":"University of Bucharest","ror":"https://ror.org/02x2v6p15","country_code":"RO","type":"education","lineage":["https://openalex.org/I141595442"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"Rodica Dinu","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, University of Bucharest, Strada Academiei 14, 010014 Bucure\u015fti, Romania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, University of Bucharest, Strada Academiei 14, 010014 Bucure\u015fti, Romania","institution_ids":["https://openalex.org/I141595442"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005751493","display_name":"J\u00fcrgen Herzog","orcid":"https://orcid.org/0000-0002-2971-2859"},"institutions":[{"id":"https://openalex.org/I62318514","display_name":"University of Duisburg-Essen","ror":"https://ror.org/04mz5ra38","country_code":"DE","type":"education","lineage":["https://openalex.org/I62318514"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"J\u00fcrgen Herzog","raw_affiliation_strings":["Fachbereich Mathematik, Universit\u00e4t Duisburg-Essen, Fakult\u00e4t f\u00fcr Mathematik, 45117 Essen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fachbereich Mathematik, Universit\u00e4t Duisburg-Essen, Fakult\u00e4t f\u00fcr Mathematik, 45117 Essen, Germany","institution_ids":["https://openalex.org/I62318514"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079248187","display_name":"Ayesha Asloob Quresh\u0131","orcid":"https://orcid.org/0000-0002-3400-2069"},"institutions":[{"id":"https://openalex.org/I134235054","display_name":"Sabanc\u0131 \u00dcniversitesi","ror":"https://ror.org/049asqa32","country_code":"TR","type":"education","lineage":["https://openalex.org/I134235054"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Ayesha Asloob Qureshi","raw_affiliation_strings":["Faculty of Engineering and Natural Sciences, Sabanc\u0131\u00a0University, Orta Mahalle, Tuzla 34956, Istanbul, Turkey","Faculty of Engineering and Natural Sciences, Sabanc\u0131 University, Orta Mahalle, Tuzla 34956, Istanbul, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Engineering and Natural Sciences, Sabanc\u0131\u00a0University, Orta Mahalle, Tuzla 34956, Istanbul, Turkey","institution_ids":["https://openalex.org/I134235054"]},{"raw_affiliation_string":"Faculty of Engineering and Natural Sciences, Sabanc\u0131 University, Orta Mahalle, Tuzla 34956, Istanbul, Turkey","institution_ids":["https://openalex.org/I134235054"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5041253952"],"corresponding_institution_ids":["https://openalex.org/I141595442"],"apc_list":null,"apc_paid":null,"fwci":0.5018,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.61659685,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"31","issue":"01","first_page":"173","last_page":"197"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9527999758720398,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8582965135574341},{"id":"https://openalex.org/keywords/square-free-integer","display_name":"Square-free integer","score":0.8537648916244507},{"id":"https://openalex.org/keywords/monomial","display_name":"Monomial","score":0.8328236937522888},{"id":"https://openalex.org/keywords/polynomial-ring","display_name":"Polynomial ring","score":0.7689350843429565},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6669216156005859},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5297466516494751},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5229129195213318},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.47885796427726746},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.476445734500885},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.46532103419303894},{"id":"https://openalex.org/keywords/monomial-ideal","display_name":"Monomial ideal","score":0.46291759610176086},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.42433440685272217},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3345189690589905},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3252640962600708},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13107523322105408},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.04735735058784485}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8582965135574341},{"id":"https://openalex.org/C188139237","wikidata":"https://www.wikidata.org/wiki/Q50706","display_name":"Square-free integer","level":2,"score":0.8537648916244507},{"id":"https://openalex.org/C11252640","wikidata":"https://www.wikidata.org/wiki/Q243723","display_name":"Monomial","level":2,"score":0.8328236937522888},{"id":"https://openalex.org/C9485509","wikidata":"https://www.wikidata.org/wiki/Q1455652","display_name":"Polynomial ring","level":3,"score":0.7689350843429565},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6669216156005859},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5297466516494751},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5229129195213318},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.47885796427726746},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.476445734500885},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.46532103419303894},{"id":"https://openalex.org/C2777789435","wikidata":"https://www.wikidata.org/wiki/Q19369206","display_name":"Monomial ideal","level":4,"score":0.46291759610176086},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.42433440685272217},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3345189690589905},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3252640962600708},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13107523322105408},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.04735735058784485},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1142/s0218196721500090","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196721500090","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2005.09601","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2005.09601","pdf_url":"https://arxiv.org/pdf/2005.09601","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:3027276274","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2005.09601.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:research.sabanciuniv.edu:41309","is_oa":false,"landing_page_url":"http://research.sabanciuniv.edu/41309/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402254","display_name":"Sabanci University","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I134235054","host_organization_name":"Sabanc\u0131 \u00dcniversitesi","host_organization_lineage":["https://openalex.org/I134235054"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:research.sabanciuniv.edu:43253","is_oa":false,"landing_page_url":"https://research.sabanciuniv.edu/id/eprint/43253/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402254","display_name":"Sabanci University","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I134235054","host_organization_name":"Sabanc\u0131 \u00dcniversitesi","host_organization_lineage":["https://openalex.org/I134235054"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"doi:10.48550/arxiv.2005.09601","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2005.09601","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2005.09601","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2005.09601","pdf_url":"https://arxiv.org/pdf/2005.09601","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.41999998688697815}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3027276274.pdf","grobid_xml":"https://content.openalex.org/works/W3027276274.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W594531022","https://openalex.org/W1505729101","https://openalex.org/W1519801683","https://openalex.org/W1528712456","https://openalex.org/W1970038509","https://openalex.org/W1980278958","https://openalex.org/W1988063646","https://openalex.org/W2004117681","https://openalex.org/W2047947493","https://openalex.org/W2071446674","https://openalex.org/W2081659888","https://openalex.org/W2082449437","https://openalex.org/W2100065294","https://openalex.org/W2111545376","https://openalex.org/W2175098281","https://openalex.org/W2334322021","https://openalex.org/W2809555546","https://openalex.org/W2966450666","https://openalex.org/W2974937916","https://openalex.org/W3011287423","https://openalex.org/W3092230845","https://openalex.org/W3190127111","https://openalex.org/W4206077821","https://openalex.org/W4251519726"],"related_works":["https://openalex.org/W3102756821","https://openalex.org/W2440811745","https://openalex.org/W2100065294","https://openalex.org/W2124515582","https://openalex.org/W1754736790","https://openalex.org/W2207897320","https://openalex.org/W3084209373","https://openalex.org/W1979644497","https://openalex.org/W2050241114","https://openalex.org/W1641829384","https://openalex.org/W2953285425","https://openalex.org/W1642019572","https://openalex.org/W2951951652","https://openalex.org/W1844629010","https://openalex.org/W2158489787","https://openalex.org/W3172186748","https://openalex.org/W2415078467","https://openalex.org/W3199716161","https://openalex.org/W1946796293","https://openalex.org/W2964169137"],"abstract_inverted_index":{"We":[0],"study":[1],"ideals":[2,36,39,45,65,69],"which":[3,23],"are":[4,37,81],"generated":[5],"by":[6],"monomials":[7],"of":[8,34,40,70],"degree":[9],"[Formula:":[10,18,47,58,61],"see":[11,19,48,59,62],"text]":[12,20],"in":[13,17],"the":[14,38],"polynomial":[15],"ring":[16],"variables":[21],"and":[22,66],"satisfy":[24],"certain":[25],"numerical":[26],"side":[27],"conditions":[28],"regarding":[29],"their":[30,78],"exponents.":[31],"Typical":[32],"examples":[33],"such":[35],"Veronese":[41,44,50,64,68],"type,":[42],"squarefree":[43],"or":[46],"text]-spread":[49,63],"ideals.":[51],"In":[52],"this":[53],"paper":[54],"we":[55],"focus":[56],"on":[57,67],"text]-bounded":[60],"bounded":[71],"support.":[72],"Their":[73],"powers":[74],"as":[75,77],"well":[76],"fiber":[79],"cone":[80],"also":[82],"considered.":[83]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
