{"id":"https://openalex.org/W1868260886","doi":"https://doi.org/10.1142/s0218196715500265","title":"Existence of finite bases for quasi-equations of unary algebras with 0","display_name":"Existence of finite bases for quasi-equations of unary algebras with 0","publication_year":2015,"publication_date":"2015-07-15","ids":{"openalex":"https://openalex.org/W1868260886","doi":"https://doi.org/10.1142/s0218196715500265","mag":"1868260886"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196715500265","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196715500265","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/A5081169960","display_name":"David Casperson","orcid":"https://orcid.org/0000-0001-5605-6220"},"institutions":[{"id":"https://openalex.org/I151934421","display_name":"University of Northern British Columbia","ror":"https://ror.org/025wzwv46","country_code":"CA","type":"education","lineage":["https://openalex.org/I151934421"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"D. Casperson","raw_affiliation_strings":["Department of Computer Science, University of Northern British Columbia, Prince George, Canada, BC V2N 4Z9, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Northern British Columbia, Prince George, Canada, BC V2N 4Z9, Canada","institution_ids":["https://openalex.org/I151934421"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068623807","display_name":"Jennifer Hyndman","orcid":"https://orcid.org/0000-0002-1463-3170"},"institutions":[{"id":"https://openalex.org/I151934421","display_name":"University of Northern British Columbia","ror":"https://ror.org/025wzwv46","country_code":"CA","type":"education","lineage":["https://openalex.org/I151934421"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"J. Hyndman","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Northern British Columbia, Prince George, Canada, BC V2N 4Z9, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Northern British Columbia, Prince George, Canada, BC V2N 4Z9, Canada","institution_ids":["https://openalex.org/I151934421"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050175026","display_name":"John Mason","orcid":"https://orcid.org/0000-0001-6079-4322"},"institutions":[{"id":"https://openalex.org/I151934421","display_name":"University of Northern British Columbia","ror":"https://ror.org/025wzwv46","country_code":"CA","type":"education","lineage":["https://openalex.org/I151934421"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"J. Mason","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Northern British Columbia, Prince George, Canada, BC V2N 4Z9, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Northern British Columbia, Prince George, Canada, BC V2N 4Z9, Canada","institution_ids":["https://openalex.org/I151934421"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057623811","display_name":"J. B. Nation","orcid":"https://orcid.org/0000-0001-5959-3304"},"institutions":[{"id":"https://openalex.org/I1331384533","display_name":"University of Hawaii System","ror":"https://ror.org/03tzaeb71","country_code":"US","type":"education","lineage":["https://openalex.org/I1331384533"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. B. Nation","raw_affiliation_strings":["Department of Mathematics, University of Hawaii, Honolulu, HI 96822, USA","Department of Mathematics, University of Hawaii, Honolulu, HI 96822, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Hawaii, Honolulu, HI 96822, USA","institution_ids":["https://openalex.org/I1331384533"]},{"raw_affiliation_string":"Department of Mathematics, University of Hawaii, Honolulu, HI 96822, USA#TAB#","institution_ids":["https://openalex.org/I1331384533"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054049648","display_name":"B. Schaan","orcid":null},"institutions":[{"id":"https://openalex.org/I151934421","display_name":"University of Northern British Columbia","ror":"https://ror.org/025wzwv46","country_code":"CA","type":"education","lineage":["https://openalex.org/I151934421"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"B. Schaan","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Northern British Columbia, Prince George, Canada, BC V2N 4Z9, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Northern British Columbia, Prince George, Canada, BC V2N 4Z9, Canada","institution_ids":["https://openalex.org/I151934421"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5081169960"],"corresponding_institution_ids":["https://openalex.org/I151934421"],"apc_list":null,"apc_paid":null,"fwci":1.8165,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.85415425,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"25","issue":"06","first_page":"927","last_page":"950"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","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"}},"topics":[{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","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"}},{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9907000064849854,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9876999855041504,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/unary-operation","display_name":"Unary operation","score":0.9435232877731323},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8937116861343384},{"id":"https://openalex.org/keywords/subalgebra","display_name":"Subalgebra","score":0.7236557006835938},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.5597354173660278},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4709010422229767},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.45444637537002563},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.43366265296936035},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3132765591144562}],"concepts":[{"id":"https://openalex.org/C78023250","wikidata":"https://www.wikidata.org/wiki/Q657596","display_name":"Unary operation","level":2,"score":0.9435232877731323},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8937116861343384},{"id":"https://openalex.org/C67996461","wikidata":"https://www.wikidata.org/wiki/Q629933","display_name":"Subalgebra","level":3,"score":0.7236557006835938},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.5597354173660278},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4709010422229767},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.45444637537002563},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43366265296936035},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3132765591144562},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218196715500265","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196715500265","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:10.1.1.261.2333","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.261.2333","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.hawaii.edu/%7Ejb/unary-algebras-Hyndmanetal.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1971913649","https://openalex.org/W1981159076","https://openalex.org/W1987058811","https://openalex.org/W2031466466","https://openalex.org/W2036486445","https://openalex.org/W2049352524","https://openalex.org/W2090425953"],"related_works":["https://openalex.org/W44548238","https://openalex.org/W3211656382","https://openalex.org/W279508462","https://openalex.org/W2017715013","https://openalex.org/W3094594872","https://openalex.org/W2576297072","https://openalex.org/W43840723","https://openalex.org/W1649906236","https://openalex.org/W4253947620","https://openalex.org/W436608346"],"abstract_inverted_index":{"A":[0],"finite":[1,5,38],"unary":[2,29],"algebra":[3,30,35],"of":[4,53],"type":[6],"with":[7,31],"a":[8,14,26,37],"constant":[9],"function":[10],"0":[11],"that":[12],"is":[13,24],"one-element":[15],"subalgebra,":[16],"and":[17,44],"whose":[18],"operations":[19],"have":[20],"range":[21],"{0,":[22,27],"1},":[23],"called":[25],"1}-valued":[28],"0.":[32],"Such":[33],"an":[34,61],"has":[36],"basis":[39],"for":[40],"its":[41],"quasi-equations":[42],"if":[43,46],"only":[45],"the":[47,51,54,58],"relation":[48],"defined":[49],"by":[50],"rows":[52],"nontrivial":[55],"functions":[56],"in":[57],"clone":[59],"form":[60],"order":[62],"ideal.":[63]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
