{"id":"https://openalex.org/W1567087688","doi":"https://doi.org/10.1007/11555964_5","title":"On the Use of Gr\u00f6bner Bases for Computing the Structure of Finite Abelian Groups","display_name":"On the Use of Gr\u00f6bner Bases for Computing the Structure of Finite Abelian Groups","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W1567087688","doi":"https://doi.org/10.1007/11555964_5","mag":"1567087688"},"language":"en","primary_location":{"id":"doi:10.1007/11555964_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11555964_5","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5025813000","display_name":"M. Borges-Quintana","orcid":"https://orcid.org/0000-0002-5656-0037"},"institutions":[{"id":"https://openalex.org/I199856841","display_name":"Universidad de Oriente","ror":"https://ror.org/03kqap970","country_code":"CU","type":"education","lineage":["https://openalex.org/I199856841"]}],"countries":["CU"],"is_corresponding":true,"raw_author_name":"M. Borges-Quintana","raw_affiliation_strings":["Dpto. de Matem\u00e1tica, FCMC, U. de Oriente, Santiago de Cuba, Cuba"],"affiliations":[{"raw_affiliation_string":"Dpto. de Matem\u00e1tica, FCMC, U. de Oriente, Santiago de Cuba, Cuba","institution_ids":["https://openalex.org/I199856841"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018902786","display_name":"M. A. Borges-Trenard","orcid":"https://orcid.org/0000-0001-7154-7730"},"institutions":[{"id":"https://openalex.org/I199856841","display_name":"Universidad de Oriente","ror":"https://ror.org/03kqap970","country_code":"CU","type":"education","lineage":["https://openalex.org/I199856841"]}],"countries":["CU"],"is_corresponding":false,"raw_author_name":"M. A. Borges-Trenard","raw_affiliation_strings":["Dpto. de Matem\u00e1tica, FCMC, U. de Oriente, Santiago de Cuba, Cuba"],"affiliations":[{"raw_affiliation_string":"Dpto. de Matem\u00e1tica, FCMC, U. de Oriente, Santiago de Cuba, Cuba","institution_ids":["https://openalex.org/I199856841"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046113278","display_name":"Edgar Mart\u0131\u0301nez-Moro","orcid":"https://orcid.org/0000-0003-1243-2049"},"institutions":[{"id":"https://openalex.org/I108103353","display_name":"Universidad de Valladolid","ror":"https://ror.org/01fvbaw18","country_code":"ES","type":"education","lineage":["https://openalex.org/I108103353"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"E. Mart\u00ednez-Moro","raw_affiliation_strings":["Dpto. de Matem\u00e1tica Aplicada, U. de Valladolid, Spain"],"affiliations":[{"raw_affiliation_string":"Dpto. de Matem\u00e1tica Aplicada, U. de Valladolid, Spain","institution_ids":["https://openalex.org/I108103353"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5025813000"],"corresponding_institution_ids":["https://openalex.org/I199856841"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.2786,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.58314807,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"52","last_page":"64"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9993000030517578,"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":0.9993000030517578,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T11130","display_name":"Coding theory and cryptography","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.8622969388961792},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6223456859588623},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5620553493499756},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5253902077674866},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5061134696006775},{"id":"https://openalex.org/keywords/rank-of-an-abelian-group","display_name":"Rank of an abelian group","score":0.49171382188796997},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4524690806865692},{"id":"https://openalex.org/keywords/elementary-abelian-group","display_name":"Elementary abelian group","score":0.390799343585968},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.34359464049339294},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3191075325012207},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.27894893288612366},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2646360993385315},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07718959450721741},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.04933628439903259}],"concepts":[{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.8622969388961792},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6223456859588623},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5620553493499756},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5253902077674866},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5061134696006775},{"id":"https://openalex.org/C200681373","wikidata":"https://www.wikidata.org/wiki/Q1260803","display_name":"Rank of an abelian group","level":4,"score":0.49171382188796997},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4524690806865692},{"id":"https://openalex.org/C81008192","wikidata":"https://www.wikidata.org/wiki/Q1017231","display_name":"Elementary abelian group","level":3,"score":0.390799343585968},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34359464049339294},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3191075325012207},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.27894893288612366},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2646360993385315},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07718959450721741},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.04933628439903259},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/11555964_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11555964_5","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W565004971","https://openalex.org/W1496801598","https://openalex.org/W1594960997","https://openalex.org/W1596578766","https://openalex.org/W1981795227","https://openalex.org/W1987599384","https://openalex.org/W2013238997","https://openalex.org/W2013785351","https://openalex.org/W2015161630","https://openalex.org/W2018433009","https://openalex.org/W2039864462","https://openalex.org/W2048235185","https://openalex.org/W2083180747","https://openalex.org/W2086866537","https://openalex.org/W2102798950","https://openalex.org/W2315098614","https://openalex.org/W3039948875","https://openalex.org/W4298425892"],"related_works":["https://openalex.org/W1999189963","https://openalex.org/W37379289","https://openalex.org/W2004460156","https://openalex.org/W2708535589","https://openalex.org/W2070941974","https://openalex.org/W3017700689","https://openalex.org/W2009465652","https://openalex.org/W3202796508","https://openalex.org/W4200381501","https://openalex.org/W2317222639"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}