{"id":"https://openalex.org/W2122297243","doi":"https://doi.org/10.1142/s0218196799000333","title":"ON PRESENTATIONS OF COMMUTATIVE MONOIDS","display_name":"ON PRESENTATIONS OF COMMUTATIVE MONOIDS","publication_year":1999,"publication_date":"1999-10-01","ids":{"openalex":"https://openalex.org/W2122297243","doi":"https://doi.org/10.1142/s0218196799000333","mag":"2122297243"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196799000333","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196799000333","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":"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/A5090505051","display_name":"J. C. Rosales","orcid":"https://orcid.org/0000-0003-3353-4335"},"institutions":[{"id":"https://openalex.org/I173304897","display_name":"Universidad de Granada","ror":"https://ror.org/04njjy449","country_code":"ES","type":"education","lineage":["https://openalex.org/I173304897"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"J. C. ROSALES","raw_affiliation_strings":["Departamento de Algebra, Universidad de Granada, 18071 Granada, Espa\u00f1a"],"affiliations":[{"raw_affiliation_string":"Departamento de Algebra, Universidad de Granada, 18071 Granada, Espa\u00f1a","institution_ids":["https://openalex.org/I173304897"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073661273","display_name":"Pedro A. Garc\u00eda-S\u00e1nchez","orcid":"https://orcid.org/0000-0003-2330-9871"},"institutions":[{"id":"https://openalex.org/I173304897","display_name":"Universidad de Granada","ror":"https://ror.org/04njjy449","country_code":"ES","type":"education","lineage":["https://openalex.org/I173304897"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"P. A. GARC\u00cdA-S\u00c1NCHEZ","raw_affiliation_strings":["Departamento de Algebra, Universidad de Granada, 18071 Granada, Espa\u00f1a"],"affiliations":[{"raw_affiliation_string":"Departamento de Algebra, Universidad de Granada, 18071 Granada, Espa\u00f1a","institution_ids":["https://openalex.org/I173304897"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007659401","display_name":"J.M. Urbano-Blanco","orcid":null},"institutions":[{"id":"https://openalex.org/I173304897","display_name":"Universidad de Granada","ror":"https://ror.org/04njjy449","country_code":"ES","type":"education","lineage":["https://openalex.org/I173304897"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. M. URBANO-BLANCO","raw_affiliation_strings":["Departamento de Algebra, Universidad de Granada, 18071 Granada, Espa\u00f1a"],"affiliations":[{"raw_affiliation_string":"Departamento de Algebra, Universidad de Granada, 18071 Granada, Espa\u00f1a","institution_ids":["https://openalex.org/I173304897"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5090505051"],"corresponding_institution_ids":["https://openalex.org/I173304897"],"apc_list":null,"apc_paid":null,"fwci":1.4892,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.81962025,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"09","issue":"05","first_page":"539","last_page":"553"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9994000196456909,"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":0.9994000196456909,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9986000061035156,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.992900013923645,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/monoid","display_name":"Monoid","score":0.890455961227417},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.864806056022644},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.7971882224082947},{"id":"https://openalex.org/keywords/syntactic-monoid","display_name":"Syntactic monoid","score":0.6360167264938354},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4892730414867401},{"id":"https://openalex.org/keywords/free-monoid","display_name":"Free monoid","score":0.4802318215370178},{"id":"https://openalex.org/keywords/presentation","display_name":"Presentation (obstetrics)","score":0.46762046217918396},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4637499451637268},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.054871588945388794}],"concepts":[{"id":"https://openalex.org/C206901836","wikidata":"https://www.wikidata.org/wiki/Q208237","display_name":"Monoid","level":2,"score":0.890455961227417},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.864806056022644},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.7971882224082947},{"id":"https://openalex.org/C119903167","wikidata":"https://www.wikidata.org/wiki/Q3321297","display_name":"Syntactic monoid","level":4,"score":0.6360167264938354},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4892730414867401},{"id":"https://openalex.org/C149685015","wikidata":"https://www.wikidata.org/wiki/Q5500266","display_name":"Free monoid","level":3,"score":0.4802318215370178},{"id":"https://openalex.org/C2777601897","wikidata":"https://www.wikidata.org/wiki/Q3409113","display_name":"Presentation (obstetrics)","level":2,"score":0.46762046217918396},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4637499451637268},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.054871588945388794},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218196799000333","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196799000333","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:CiteSeerX.psu:10.1.1.378.4803","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.378.4803","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hera.ugr.es/doi/15007625.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W382720801","https://openalex.org/W1562657365","https://openalex.org/W1585649433","https://openalex.org/W1982666997","https://openalex.org/W2002777996","https://openalex.org/W2023484826","https://openalex.org/W2045960680","https://openalex.org/W2068545438","https://openalex.org/W2081659888","https://openalex.org/W2102265874","https://openalex.org/W2774809999"],"related_works":["https://openalex.org/W51936586","https://openalex.org/W3161268522","https://openalex.org/W3143205136","https://openalex.org/W2071633178","https://openalex.org/W2971508078","https://openalex.org/W2038387119","https://openalex.org/W3201418638","https://openalex.org/W2090238248","https://openalex.org/W2079194245","https://openalex.org/W1991410416"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,13,24],"introduce":[4],"the":[5,15],"concept":[6],"of":[7],"a":[8,22,26,30],"strongly":[9],"reduced":[10],"monoid":[11],"and":[12],"characterize":[14],"minimal":[16],"presentations":[17],"for":[18,32],"such":[19],"monoids.":[20],"As":[21],"consequence,":[23],"give":[25],"method":[27],"to":[28],"obtain":[29],"presentation":[31],"any":[33],"commutative":[34],"monoid.":[35]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}