{"id":"https://openalex.org/W1642019572","doi":"https://doi.org/10.37236/3813","title":"Monomial Ideals with Primary Components given by Powers of Monomial Prime Ideals","display_name":"Monomial Ideals with Primary Components given by Powers of Monomial Prime Ideals","publication_year":2014,"publication_date":"2014-03-24","ids":{"openalex":"https://openalex.org/W1642019572","doi":"https://doi.org/10.37236/3813","mag":"1642019572"},"language":"en","primary_location":{"id":"doi:10.37236/3813","is_oa":true,"landing_page_url":"https://doi.org/10.37236/3813","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v21i1p64/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v21i1p64/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","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":true,"raw_author_name":"J\u00fcrgen Herzog","raw_affiliation_strings":["Fachbereich Mathematik, Universit\u00e4t Duisburg-Essen, Campus Essen, 45117, Essen, Germany","Fachbereich Mathematik, Universit\u00e4t Duisburg\u2010Essen, Campus Essen, 45117 Essen, Germany"],"affiliations":[{"raw_affiliation_string":"Fachbereich Mathematik, Universit\u00e4t Duisburg-Essen, Campus Essen, 45117, Essen, Germany","institution_ids":["https://openalex.org/I62318514"]},{"raw_affiliation_string":"Fachbereich Mathematik, Universit\u00e4t Duisburg\u2010Essen, Campus Essen, 45117 Essen, Germany","institution_ids":["https://openalex.org/I62318514"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025748928","display_name":"Marius Vl\u0103doiu","orcid":null},"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":false,"raw_author_name":"Marius Vladoiu","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, University of Bucharest, Str.  Academiei 14, Bucharest, RO-010014, Romania","Faculty of Mathematics and Computer Science, University of Bucharest, Str. Academiei 14, Bucharest, RO-010014, Romania"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, University of Bucharest, Str.  Academiei 14, Bucharest, RO-010014, Romania","institution_ids":["https://openalex.org/I141595442"]},{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, University of Bucharest, Str. Academiei 14, Bucharest, RO-010014, Romania","institution_ids":["https://openalex.org/I141595442"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5005751493"],"corresponding_institution_ids":["https://openalex.org/I62318514"],"apc_list":null,"apc_paid":null,"fwci":4.6665,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.94645327,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"21","issue":"1","first_page":null,"last_page":null},"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":0.9958000183105469,"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":0.9912999868392944,"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/monomial","display_name":"Monomial","score":0.981248140335083},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8866297006607056},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.758368730545044},{"id":"https://openalex.org/keywords/monomial-ideal","display_name":"Monomial ideal","score":0.6332751512527466},{"id":"https://openalex.org/keywords/associated-prime","display_name":"Associated prime","score":0.5801137089729309},{"id":"https://openalex.org/keywords/monomial-basis","display_name":"Monomial basis","score":0.5251818895339966},{"id":"https://openalex.org/keywords/boolean-prime-ideal-theorem","display_name":"Boolean prime ideal theorem","score":0.5241349339485168},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.42879486083984375},{"id":"https://openalex.org/keywords/fractional-ideal","display_name":"Fractional ideal","score":0.42853349447250366},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4142570197582245},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.40110692381858826},{"id":"https://openalex.org/keywords/polynomial-ring","display_name":"Polynomial ring","score":0.13314905762672424},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.049065977334976196},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.04013794660568237}],"concepts":[{"id":"https://openalex.org/C11252640","wikidata":"https://www.wikidata.org/wiki/Q243723","display_name":"Monomial","level":2,"score":0.981248140335083},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8866297006607056},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.758368730545044},{"id":"https://openalex.org/C2777789435","wikidata":"https://www.wikidata.org/wiki/Q19369206","display_name":"Monomial ideal","level":4,"score":0.6332751512527466},{"id":"https://openalex.org/C107836120","wikidata":"https://www.wikidata.org/wiki/Q4809264","display_name":"Associated prime","level":3,"score":0.5801137089729309},{"id":"https://openalex.org/C46132437","wikidata":"https://www.wikidata.org/wiki/Q6901742","display_name":"Monomial basis","level":3,"score":0.5251818895339966},{"id":"https://openalex.org/C175958551","wikidata":"https://www.wikidata.org/wiki/Q872088","display_name":"Boolean prime ideal theorem","level":3,"score":0.5241349339485168},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.42879486083984375},{"id":"https://openalex.org/C182817911","wikidata":"https://www.wikidata.org/wiki/Q1497184","display_name":"Fractional ideal","level":3,"score":0.42853349447250366},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4142570197582245},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.40110692381858826},{"id":"https://openalex.org/C9485509","wikidata":"https://www.wikidata.org/wiki/Q1455652","display_name":"Polynomial ring","level":3,"score":0.13314905762672424},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.049065977334976196},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.04013794660568237},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/3813","is_oa":true,"landing_page_url":"https://doi.org/10.37236/3813","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v21i1p64/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/3813","is_oa":true,"landing_page_url":"https://doi.org/10.37236/3813","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v21i1p64/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1265916763","display_name":null,"funder_award_id":"CNCS-UEFISCDI","funder_id":"https://openalex.org/F4320323444","funder_display_name":"Autoritatea National\u0103 pentru Cercetare Stiintific\u0103"},{"id":"https://openalex.org/G5446915556","display_name":null,"funder_award_id":"UEFISCDI","funder_id":"https://openalex.org/F4320323444","funder_display_name":"Autoritatea National\u0103 pentru Cercetare Stiintific\u0103"},{"id":"https://openalex.org/G7430875941","display_name":null,"funder_award_id":"grant","funder_id":"https://openalex.org/F4320323983","funder_display_name":"Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii"},{"id":"https://openalex.org/G811581086","display_name":null,"funder_award_id":"PN-II-ID-PCE-2011-3-1023","funder_id":"https://openalex.org/F4320323983","funder_display_name":"Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii"}],"funders":[{"id":"https://openalex.org/F4320323444","display_name":"Autoritatea National\u0103 pentru Cercetare Stiintific\u0103","ror":"https://ror.org/03padf885"},{"id":"https://openalex.org/F4320323983","display_name":"Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii","ror":"https://ror.org/01q7jq182"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1642019572.pdf","grobid_xml":"https://content.openalex.org/works/W1642019572.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W119672662","https://openalex.org/W1495410784","https://openalex.org/W1514206591","https://openalex.org/W1519801683","https://openalex.org/W1525938604","https://openalex.org/W1551337619","https://openalex.org/W1845436979","https://openalex.org/W1977182256","https://openalex.org/W1988063646","https://openalex.org/W1992202796","https://openalex.org/W2066600148","https://openalex.org/W2086610318","https://openalex.org/W2100065294","https://openalex.org/W2120014830","https://openalex.org/W2132202780","https://openalex.org/W2159154270","https://openalex.org/W2175098281","https://openalex.org/W2911873325","https://openalex.org/W2950605921","https://openalex.org/W2952905462","https://openalex.org/W2964312789","https://openalex.org/W3037227417","https://openalex.org/W3100761429","https://openalex.org/W3103403797","https://openalex.org/W4285719527","https://openalex.org/W4394641478","https://openalex.org/W6601289836","https://openalex.org/W6604898318","https://openalex.org/W6644756424","https://openalex.org/W6648533999","https://openalex.org/W6659654899","https://openalex.org/W6677962590","https://openalex.org/W6679327311","https://openalex.org/W6779854314","https://openalex.org/W6785842646","https://openalex.org/W6799148815"],"related_works":["https://openalex.org/W3136930153","https://openalex.org/W3217209015","https://openalex.org/W3138624888","https://openalex.org/W2026219028","https://openalex.org/W4300437483","https://openalex.org/W307015568","https://openalex.org/W2593210208","https://openalex.org/W1988063646","https://openalex.org/W2950511598","https://openalex.org/W2581160499"],"abstract_inverted_index":{"We":[0],"characterize":[1],"monomial":[2,10],"ideals":[3,12,17],"which":[4],"are":[5],"intersections":[6],"of":[7,9,16],"powers":[8],"prime":[11],"and":[13],"study":[14],"classes":[15],"with":[18],"this":[19],"property,":[20],"among":[21],"them":[22],"polymatroidal":[23],"ideals.":[24]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}