{"id":"https://openalex.org/W3156622747","doi":"https://doi.org/10.1007/s11786-021-00512-5","title":"An Involutive GVW Algorithm and the Computation of Pommaret Bases","display_name":"An Involutive GVW Algorithm and the Computation of Pommaret Bases","publication_year":2021,"publication_date":"2021-06-07","ids":{"openalex":"https://openalex.org/W3156622747","doi":"https://doi.org/10.1007/s11786-021-00512-5","mag":"3156622747"},"language":"en","primary_location":{"id":"doi:10.1007/s11786-021-00512-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11786-021-00512-5","pdf_url":null,"source":{"id":"https://openalex.org/S136038430","display_name":"Mathematics in Computer Science","issn_l":"1661-8270","issn":["1661-8270","1661-8289"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087754513","display_name":"Amir Hashemi","orcid":"https://orcid.org/0000-0002-0440-8623"},"institutions":[{"id":"https://openalex.org/I170013655","display_name":"Isfahan University of Technology","ror":"https://ror.org/00af3sa43","country_code":"IR","type":"education","lineage":["https://openalex.org/I170013655"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Amir Hashemi","raw_affiliation_strings":["Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, 84156-83111, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, 84156-83111, Iran","institution_ids":["https://openalex.org/I170013655"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027471730","display_name":"Thomas Izgin","orcid":"https://orcid.org/0000-0003-3235-210X"},"institutions":[{"id":"https://openalex.org/I106157433","display_name":"University of Kassel","ror":"https://ror.org/04zc7p361","country_code":"DE","type":"education","lineage":["https://openalex.org/I106157433"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Thomas Izgin","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Universit\u00e4t Kassel, Heinrich-Plett-Str. 40, 34132, Kassel, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Universit\u00e4t Kassel, Heinrich-Plett-Str. 40, 34132, Kassel, Germany","institution_ids":["https://openalex.org/I106157433"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048450491","display_name":"Daniel Robertz","orcid":"https://orcid.org/0000-0003-1179-0012"},"institutions":[{"id":"https://openalex.org/I897542642","display_name":"University of Plymouth","ror":"https://ror.org/008n7pv89","country_code":"GB","type":"education","lineage":["https://openalex.org/I897542642"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Daniel Robertz","raw_affiliation_strings":["School of Engineering, Computing and Mathematics, University of Plymouth, 2-5 Kirkby Place, Drake Circus, Plymouth, PL4 8AA, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Engineering, Computing and Mathematics, University of Plymouth, 2-5 Kirkby Place, Drake Circus, Plymouth, PL4 8AA, UK","institution_ids":["https://openalex.org/I897542642"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013628987","display_name":"Werner M. Seiler","orcid":"https://orcid.org/0000-0002-0565-1334"},"institutions":[{"id":"https://openalex.org/I106157433","display_name":"University of Kassel","ror":"https://ror.org/04zc7p361","country_code":"DE","type":"education","lineage":["https://openalex.org/I106157433"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Werner M. Seiler","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Universit\u00e4t Kassel, Heinrich-Plett-Str. 40, 34132, Kassel, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Universit\u00e4t Kassel, Heinrich-Plett-Str. 40, 34132, Kassel, Germany","institution_ids":["https://openalex.org/I106157433"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5027471730"],"corresponding_institution_ids":["https://openalex.org/I106157433"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.1523,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.49648786,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"15","issue":"3","first_page":"419","last_page":"452"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9994000196456909,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9944000244140625,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9879999756813049,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hilberts-syzygy-theorem","display_name":"Hilbert's syzygy theorem","score":0.9506911039352417},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6822177767753601},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5022439956665039},{"id":"https://openalex.org/keywords/gr\u00f6bner-basis","display_name":"Gr\u00f6bner basis","score":0.49115487933158875},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4573937654495239},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.43311044573783875},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.42803284525871277},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3114628791809082},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.07811576128005981}],"concepts":[{"id":"https://openalex.org/C55101346","wikidata":"https://www.wikidata.org/wiki/Q85776755","display_name":"Hilbert's syzygy theorem","level":2,"score":0.9506911039352417},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6822177767753601},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5022439956665039},{"id":"https://openalex.org/C198082693","wikidata":"https://www.wikidata.org/wiki/Q1551631","display_name":"Gr\u00f6bner basis","level":3,"score":0.49115487933158875},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4573937654495239},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.43311044573783875},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.42803284525871277},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3114628791809082},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.07811576128005981},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11786-021-00512-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11786-021-00512-5","pdf_url":null,"source":{"id":"https://openalex.org/S136038430","display_name":"Mathematics in Computer Science","issn_l":"1661-8270","issn":["1661-8270","1661-8289"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:pearl.plymouth.ac.uk:10026.1/17024","is_oa":false,"landing_page_url":"http://hdl.handle.net/10026.1/17024","pdf_url":null,"source":{"id":"https://openalex.org/S4306402507","display_name":"PEARL (University of Plymouth)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I897542642","host_organization_name":"University of Plymouth","host_organization_lineage":["https://openalex.org/I897542642"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W559995302","https://openalex.org/W648916724","https://openalex.org/W1481997196","https://openalex.org/W1524190946","https://openalex.org/W1549664293","https://openalex.org/W1563257127","https://openalex.org/W1595843857","https://openalex.org/W1751930552","https://openalex.org/W1979128220","https://openalex.org/W1984948404","https://openalex.org/W1993974377","https://openalex.org/W2038345254","https://openalex.org/W2044439960","https://openalex.org/W2048207381","https://openalex.org/W2051046060","https://openalex.org/W2058865345","https://openalex.org/W2161736272","https://openalex.org/W2290022587","https://openalex.org/W2603533745","https://openalex.org/W2797016981","https://openalex.org/W2888692120","https://openalex.org/W2911637424"],"related_works":["https://openalex.org/W2352831285","https://openalex.org/W2351561193","https://openalex.org/W2023845786","https://openalex.org/W1991925681","https://openalex.org/W3187960866","https://openalex.org/W4287592125","https://openalex.org/W1965669637","https://openalex.org/W3107024117","https://openalex.org/W2375916672","https://openalex.org/W4247307888"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
