{"id":"https://openalex.org/W2982244992","doi":"https://doi.org/10.1145/3358528.3358586","title":"Congruences on a Semilattice of Inverse Monoids","display_name":"Congruences on a Semilattice of Inverse Monoids","publication_year":2019,"publication_date":"2019-08-28","ids":{"openalex":"https://openalex.org/W2982244992","doi":"https://doi.org/10.1145/3358528.3358586","mag":"2982244992"},"language":"en","primary_location":{"id":"doi:10.1145/3358528.3358586","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3358528.3358586","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2nd International Conference on Big Data Technologies","raw_type":"proceedings-article"},"type":"conference-paper","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/A5101710678","display_name":"Zhaoying Chen","orcid":"https://orcid.org/0009-0000-2258-0489"},"institutions":[{"id":"https://openalex.org/I34949971","display_name":"University of Jinan","ror":"https://ror.org/02mjz6f26","country_code":"CN","type":"education","lineage":["https://openalex.org/I34949971"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhaoying Chen","raw_affiliation_strings":["School of Mathematical Science, University of Jinan, Jinan, Shandong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, University of Jinan, Jinan, Shandong, China","institution_ids":["https://openalex.org/I34949971"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080812283","display_name":"Sumei Zhang","orcid":"https://orcid.org/0000-0001-5779-3281"},"institutions":[{"id":"https://openalex.org/I34949971","display_name":"University of Jinan","ror":"https://ror.org/02mjz6f26","country_code":"CN","type":"education","lineage":["https://openalex.org/I34949971"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sumei Zhang","raw_affiliation_strings":["School of Mathematical Science, University of Jinan, Jinan, Shandong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, University of Jinan, Jinan, Shandong, China","institution_ids":["https://openalex.org/I34949971"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101667821","display_name":"Xiuqing Wang","orcid":"https://orcid.org/0000-0003-1723-3583"},"institutions":[{"id":"https://openalex.org/I34949971","display_name":"University of Jinan","ror":"https://ror.org/02mjz6f26","country_code":"CN","type":"education","lineage":["https://openalex.org/I34949971"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiuqing Wang","raw_affiliation_strings":["President Office, University of Jinan, Jinan, Shandong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"President Office, University of Jinan, Jinan, Shandong, China","institution_ids":["https://openalex.org/I34949971"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I34949971"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18492049,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"182","last_page":"186"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.987500011920929,"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":0.987500011920929,"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":0.9564999938011169,"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":0.9505000114440918,"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/congruence-relation","display_name":"Congruence relation","score":0.9476877450942993},{"id":"https://openalex.org/keywords/semilattice","display_name":"Semilattice","score":0.9458907842636108},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.7061656713485718},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6685614585876465},{"id":"https://openalex.org/keywords/inverse-semigroup","display_name":"Inverse semigroup","score":0.6485413312911987},{"id":"https://openalex.org/keywords/monoid","display_name":"Monoid","score":0.6458734273910522},{"id":"https://openalex.org/keywords/congruence","display_name":"Congruence (geometry)","score":0.583353579044342},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5170146226882935},{"id":"https://openalex.org/keywords/idempotence","display_name":"Idempotence","score":0.4898519217967987},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4553220570087433},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3873637020587921},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.2676716446876526},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.10628676414489746}],"concepts":[{"id":"https://openalex.org/C9973445","wikidata":"https://www.wikidata.org/wiki/Q8349849","display_name":"Congruence relation","level":2,"score":0.9476877450942993},{"id":"https://openalex.org/C132170107","wikidata":"https://www.wikidata.org/wiki/Q834585","display_name":"Semilattice","level":3,"score":0.9458907842636108},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.7061656713485718},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6685614585876465},{"id":"https://openalex.org/C2778508345","wikidata":"https://www.wikidata.org/wiki/Q3022118","display_name":"Inverse semigroup","level":3,"score":0.6485413312911987},{"id":"https://openalex.org/C206901836","wikidata":"https://www.wikidata.org/wiki/Q208237","display_name":"Monoid","level":2,"score":0.6458734273910522},{"id":"https://openalex.org/C132074034","wikidata":"https://www.wikidata.org/wiki/Q154210","display_name":"Congruence (geometry)","level":2,"score":0.583353579044342},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5170146226882935},{"id":"https://openalex.org/C172252984","wikidata":"https://www.wikidata.org/wiki/Q368988","display_name":"Idempotence","level":2,"score":0.4898519217967987},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4553220570087433},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3873637020587921},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2676716446876526},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.10628676414489746},{"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:10.1145/3358528.3358586","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3358528.3358586","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2nd International Conference on Big Data Technologies","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1487875360","https://openalex.org/W1529355630","https://openalex.org/W1990792341","https://openalex.org/W2044218688","https://openalex.org/W2095282204","https://openalex.org/W2371227666","https://openalex.org/W2569099800","https://openalex.org/W2963282310"],"related_works":["https://openalex.org/W2318698690","https://openalex.org/W2034886710","https://openalex.org/W2387936713","https://openalex.org/W4238856206","https://openalex.org/W2089905919","https://openalex.org/W1985426084","https://openalex.org/W4246766685","https://openalex.org/W2089989518","https://openalex.org/W2982244992","https://openalex.org/W2930972157"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"congruences":[3,14,30,64],"on":[4,15,31,39,53,65],"a":[5,32,54],"semilattice":[6,33,55],"of":[7,17,34,56],"inverse":[8,18,35,41,57,67],"monoids":[9,19,36,42,58],"are":[10],"characterized":[11],"by":[12,61],"the":[13,46,48,62],"each":[16],"in":[20,45],"detail,":[21],"then":[22],"an":[23],"important":[24],"relations":[25],"between":[26],"(the":[27],"minimum)":[28],"group":[29],"and":[37],"those":[38],"every":[40,66],"is":[43,59],"established,":[44],"end,":[47],"maximum":[49],"idempotent":[50],"separating":[51],"congruence":[52],"described":[60],"corresponding":[63],"monoid.":[68]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}