{"id":"https://openalex.org/W2042170685","doi":"https://doi.org/10.1142/s0218196707004177","title":"A NONFINITELY BASED FINITE SEMIRING","display_name":"A NONFINITELY BASED FINITE SEMIRING","publication_year":2007,"publication_date":"2007-12-01","ids":{"openalex":"https://openalex.org/W2042170685","doi":"https://doi.org/10.1142/s0218196707004177","mag":"2042170685"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196707004177","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196707004177","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/A5043260756","display_name":"Igor Dolinka","orcid":"https://orcid.org/0000-0002-8644-0626"},"institutions":[{"id":"https://openalex.org/I170726198","display_name":"University of Novi Sad","ror":"https://ror.org/00xa57a59","country_code":"RS","type":"education","lineage":["https://openalex.org/I170726198"]}],"countries":["RS"],"is_corresponding":true,"raw_author_name":"IGOR DOLINKA","raw_affiliation_strings":["Department of Mathematics and Informatics, University of Novi Sad, Trg Dositeja Obradovi\u0107a 4, 21000 Novi Sad, Serbia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Informatics, University of Novi Sad, Trg Dositeja Obradovi\u0107a 4, 21000 Novi Sad, Serbia","institution_ids":["https://openalex.org/I170726198"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5043260756"],"corresponding_institution_ids":["https://openalex.org/I170726198"],"apc_list":null,"apc_paid":null,"fwci":1.093,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.7754751,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"17","issue":"08","first_page":"1537","last_page":"1551"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","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/T11727","display_name":"Advanced Algebra and Logic","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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9951000213623047,"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/semiring","display_name":"Semiring","score":0.9234803915023804},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8986016511917114},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5217928886413574},{"id":"https://openalex.org/keywords/binary-relation","display_name":"Binary relation","score":0.4973624050617218},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4801051914691925},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.45805418491363525},{"id":"https://openalex.org/keywords/binary-operation","display_name":"Binary operation","score":0.4380202293395996},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4040111303329468},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3962198793888092},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3751952648162842},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3740234375},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.047315746545791626}],"concepts":[{"id":"https://openalex.org/C21696900","wikidata":"https://www.wikidata.org/wiki/Q1333055","display_name":"Semiring","level":2,"score":0.9234803915023804},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8986016511917114},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5217928886413574},{"id":"https://openalex.org/C65180967","wikidata":"https://www.wikidata.org/wiki/Q130901","display_name":"Binary relation","level":2,"score":0.4973624050617218},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4801051914691925},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.45805418491363525},{"id":"https://openalex.org/C185529760","wikidata":"https://www.wikidata.org/wiki/Q164307","display_name":"Binary operation","level":2,"score":0.4380202293395996},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4040111303329468},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3962198793888092},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3751952648162842},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3740234375},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.047315746545791626},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196707004177","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196707004177","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W41308372","https://openalex.org/W85883491","https://openalex.org/W172530911","https://openalex.org/W179270118","https://openalex.org/W1607065230","https://openalex.org/W1607161872","https://openalex.org/W1975646155","https://openalex.org/W1978813353","https://openalex.org/W1990386459","https://openalex.org/W2026410426","https://openalex.org/W2028587631","https://openalex.org/W2029719615","https://openalex.org/W2036285489","https://openalex.org/W2058241424","https://openalex.org/W2313010185","https://openalex.org/W2490466836","https://openalex.org/W4212873186","https://openalex.org/W4251191012","https://openalex.org/W4293176479"],"related_works":["https://openalex.org/W132653120","https://openalex.org/W1556369334","https://openalex.org/W4312630145","https://openalex.org/W2022872574","https://openalex.org/W2136470878","https://openalex.org/W231156900","https://openalex.org/W3037203475","https://openalex.org/W1981365019","https://openalex.org/W591875192","https://openalex.org/W4297803221"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,10,26],"semiring":[3],"formed":[4],"by":[5,15],"seven":[6,16],"binary":[7],"relations":[8],"on":[9],"two-element":[11],"set":[12],"(or,":[13],"equivalently,":[14],"Boolean":[17],"2":[18,20],"\u00d7":[19],"matrices)":[21],"that":[22],"does":[23],"not":[24],"have":[25],"finite":[27],"basis":[28],"for":[29],"its":[30],"identities.":[31],"Some":[32],"related":[33],"open":[34],"problems":[35],"are":[36],"also":[37],"discussed.":[38]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}