{"id":"https://openalex.org/W2087038554","doi":"https://doi.org/10.1142/s0218196706002962","title":"NOTES ON FINITELY GENERATED SEMIGROUPS","display_name":"NOTES ON FINITELY GENERATED SEMIGROUPS","publication_year":2006,"publication_date":"2006-06-01","ids":{"openalex":"https://openalex.org/W2087038554","doi":"https://doi.org/10.1142/s0218196706002962","mag":"2087038554"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196706002962","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196706002962","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/A5035525771","display_name":"Elton Pasku","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"ELTON PASKU","raw_affiliation_strings":["Department of Mathematics, University Gardens, Glasgow, G12 8QW, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University Gardens, Glasgow, G12 8QW, UK","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5035525771"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.15472482,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"16","issue":"03","first_page":"461","last_page":"474"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9998999834060669,"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/mathematics","display_name":"Mathematics","score":0.9300519227981567},{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.7269970178604126},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.6967947483062744},{"id":"https://openalex.org/keywords/finitely-generated-abelian-group","display_name":"Finitely-generated abelian group","score":0.6876355409622192},{"id":"https://openalex.org/keywords/inverse-semigroup","display_name":"Inverse semigroup","score":0.6646409034729004},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5459387302398682},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5078049302101135},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.48835083842277527},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.37961193919181824},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37301069498062134},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3215309679508209}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9300519227981567},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.7269970178604126},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.6967947483062744},{"id":"https://openalex.org/C162860070","wikidata":"https://www.wikidata.org/wiki/Q142140","display_name":"Finitely-generated abelian group","level":2,"score":0.6876355409622192},{"id":"https://openalex.org/C2778508345","wikidata":"https://www.wikidata.org/wiki/Q3022118","display_name":"Inverse semigroup","level":3,"score":0.6646409034729004},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5459387302398682},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5078049302101135},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.48835083842277527},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.37961193919181824},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37301069498062134},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3215309679508209},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196706002962","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196706002962","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1487875360","https://openalex.org/W1567547413","https://openalex.org/W1570532888","https://openalex.org/W1985086544","https://openalex.org/W2029955828","https://openalex.org/W2041856676","https://openalex.org/W2044893114"],"related_works":["https://openalex.org/W2933135176","https://openalex.org/W4289299193","https://openalex.org/W2953336526","https://openalex.org/W2074264526","https://openalex.org/W1628933057","https://openalex.org/W177165054","https://openalex.org/W1890965041","https://openalex.org/W2342726328","https://openalex.org/W2951110749","https://openalex.org/W2774638774"],"abstract_inverted_index":{"We":[0,24],"show":[1],"that":[2],"analogues":[3],"of":[4,29,55],"results":[5],"from":[6,41,52],"[4,":[7],"5]":[8],"can":[9],"be":[10],"obtained":[11],"if":[12],"the":[13,53],"relation":[14],"[Formula:":[15,21,35],"see":[16,22,36],"text]":[17,37],"is":[18],"replaced":[19],"by":[20],"text].":[23],"also":[25],"give":[26],"an":[27],"example":[28],"a":[30],"semigroup":[31],"S":[32,42],"in":[33],"which":[34],"does":[38],"not":[39,50],"follow":[40],"being":[43],"finitely":[44],"generated,":[45],"periodic,":[46],"inverse,":[47],"E-unitary":[48],"and":[49],"even":[51],"finiteness":[54],"its":[56],"maximal":[57],"subgroups.":[58]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}