{"id":"https://openalex.org/W2009596713","doi":"https://doi.org/10.1016/0012-365x(83)90189-9","title":"On quasigroups rich in associative triples","display_name":"On quasigroups rich in associative triples","publication_year":1983,"publication_date":"1983-01-01","ids":{"openalex":"https://openalex.org/W2009596713","doi":"https://doi.org/10.1016/0012-365x(83)90189-9","mag":"2009596713"},"language":"en","primary_location":{"id":"doi:10.1016/0012-365x(83)90189-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(83)90189-9","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","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/A5045712903","display_name":"Ale\u0161 Dr\u00e1pal","orcid":"https://orcid.org/0000-0002-3879-7874"},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Ale\u0161 Dr\u00e1pal","raw_affiliation_strings":["Charles University, Praha, Czechoslovakia#TAB#"],"affiliations":[{"raw_affiliation_string":"Charles University, Praha, Czechoslovakia#TAB#","institution_ids":["https://openalex.org/I21250087"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5045712903"],"corresponding_institution_ids":["https://openalex.org/I21250087"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":0.6776,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.64299868,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"44","issue":"3","first_page":"251","last_page":"265"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9998000264167786,"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/T12504","display_name":"Mathematics and Applications","score":0.9998000264167786,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.960099995136261,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/associative-property","display_name":"Associative property","score":0.8590545654296875},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8431518077850342},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4599875509738922},{"id":"https://openalex.org/keywords/quasigroup","display_name":"Quasigroup","score":0.4552858769893646},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4519514739513397},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4069386124610901},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3657822906970978},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24900615215301514}],"concepts":[{"id":"https://openalex.org/C159423971","wikidata":"https://www.wikidata.org/wiki/Q177251","display_name":"Associative property","level":2,"score":0.8590545654296875},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8431518077850342},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4599875509738922},{"id":"https://openalex.org/C198800484","wikidata":"https://www.wikidata.org/wiki/Q1503423","display_name":"Quasigroup","level":2,"score":0.4552858769893646},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4519514739513397},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4069386124610901},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3657822906970978},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24900615215301514}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0012-365x(83)90189-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(83)90189-9","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","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":9,"referenced_works":["https://openalex.org/W1669998207","https://openalex.org/W1954214817","https://openalex.org/W2015260183","https://openalex.org/W2084104061","https://openalex.org/W2732774614","https://openalex.org/W2736713716","https://openalex.org/W6740458127","https://openalex.org/W6741034014","https://openalex.org/W6983777577"],"related_works":["https://openalex.org/W2186480202","https://openalex.org/W2891079247","https://openalex.org/W4289542518","https://openalex.org/W2324333540","https://openalex.org/W1505989921","https://openalex.org/W2746970699","https://openalex.org/W2139137853","https://openalex.org/W2158415406","https://openalex.org/W2024337605","https://openalex.org/W3054819087"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
