{"id":"https://openalex.org/W3189948174","doi":"https://doi.org/10.1007/s10485-022-09684-y","title":"Bifold Algebras and Commutants for Enriched Algebraic Theories","display_name":"Bifold Algebras and Commutants for Enriched Algebraic Theories","publication_year":2022,"publication_date":"2022-07-08","ids":{"openalex":"https://openalex.org/W3189948174","doi":"https://doi.org/10.1007/s10485-022-09684-y","mag":"3189948174"},"language":"en","primary_location":{"id":"doi:10.1007/s10485-022-09684-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10485-022-09684-y","pdf_url":null,"source":{"id":"https://openalex.org/S148906134","display_name":"Applied Categorical Structures","issn_l":"0927-2852","issn":["0927-2852","1572-9095"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Categorical Structures","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/A5021218620","display_name":"Rory B. B. Lucyshyn-Wright","orcid":null},"institutions":[{"id":"https://openalex.org/I48890080","display_name":"Brandon University","ror":"https://ror.org/02qp25a50","country_code":"CA","type":"education","lineage":["https://openalex.org/I48890080"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Rory B. B. Lucyshyn-Wright","raw_affiliation_strings":["Brandon University, Brandon, Manitoba, Canada","Brandon University, Brandon, Canada"],"affiliations":[{"raw_affiliation_string":"Brandon University, Brandon, Manitoba, Canada","institution_ids":["https://openalex.org/I48890080"]},{"raw_affiliation_string":"Brandon University, Brandon, Canada","institution_ids":["https://openalex.org/I48890080"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5021218620"],"corresponding_institution_ids":["https://openalex.org/I48890080"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05491492,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"30","issue":"6","first_page":"1077","last_page":"1121"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","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/T10287","display_name":"Algebraic structures and combinatorial models","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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9991999864578247,"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/mathematics","display_name":"Mathematics","score":0.8121024370193481},{"id":"https://openalex.org/keywords/centralizer-and-normalizer","display_name":"Centralizer and normalizer","score":0.7300578355789185},{"id":"https://openalex.org/keywords/tensor-product","display_name":"Tensor product","score":0.603716254234314},{"id":"https://openalex.org/keywords/bialgebra","display_name":"Bialgebra","score":0.599471390247345},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5906832814216614},{"id":"https://openalex.org/keywords/universal-algebra","display_name":"Universal algebra","score":0.5757541060447693},{"id":"https://openalex.org/keywords/subalgebra","display_name":"Subalgebra","score":0.463944673538208},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.4176919758319855},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.41283273696899414},{"id":"https://openalex.org/keywords/hopf-algebra","display_name":"Hopf algebra","score":0.14404791593551636}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8121024370193481},{"id":"https://openalex.org/C75174853","wikidata":"https://www.wikidata.org/wiki/Q190629","display_name":"Centralizer and normalizer","level":2,"score":0.7300578355789185},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.603716254234314},{"id":"https://openalex.org/C2778676360","wikidata":"https://www.wikidata.org/wiki/Q494141","display_name":"Bialgebra","level":4,"score":0.599471390247345},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5906832814216614},{"id":"https://openalex.org/C188971069","wikidata":"https://www.wikidata.org/wiki/Q1636734","display_name":"Universal algebra","level":3,"score":0.5757541060447693},{"id":"https://openalex.org/C67996461","wikidata":"https://www.wikidata.org/wiki/Q629933","display_name":"Subalgebra","level":3,"score":0.463944673538208},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.4176919758319855},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.41283273696899414},{"id":"https://openalex.org/C29712632","wikidata":"https://www.wikidata.org/wiki/Q1627597","display_name":"Hopf algebra","level":3,"score":0.14404791593551636}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10485-022-09684-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10485-022-09684-y","pdf_url":null,"source":{"id":"https://openalex.org/S148906134","display_name":"Applied Categorical Structures","issn_l":"0927-2852","issn":["0927-2852","1572-9095"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Categorical Structures","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.6600000262260437}],"awards":[{"id":"https://openalex.org/G27739427","display_name":null,"funder_award_id":"RGPIN-2019-05274","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G417007303","display_name":null,"funder_award_id":"RGPAS-2019-00087","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G5248060398","display_name":null,"funder_award_id":"DGECR-2019-00273","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W41360094","https://openalex.org/W81183436","https://openalex.org/W361203971","https://openalex.org/W902341722","https://openalex.org/W1492679692","https://openalex.org/W1497811828","https://openalex.org/W1507692549","https://openalex.org/W1510067240","https://openalex.org/W1531543906","https://openalex.org/W1549977012","https://openalex.org/W1578085298","https://openalex.org/W1980827618","https://openalex.org/W1993617221","https://openalex.org/W2017663236","https://openalex.org/W2077672278","https://openalex.org/W2080816412","https://openalex.org/W2088027070","https://openalex.org/W2107674601","https://openalex.org/W2234612448","https://openalex.org/W2321359234","https://openalex.org/W2344782274","https://openalex.org/W2529887420","https://openalex.org/W2727626857","https://openalex.org/W2766181281","https://openalex.org/W2962741456","https://openalex.org/W2963188897","https://openalex.org/W4205983157","https://openalex.org/W4240935722"],"related_works":["https://openalex.org/W2112182903","https://openalex.org/W4200280699","https://openalex.org/W2283284648","https://openalex.org/W2951093360","https://openalex.org/W4300919683","https://openalex.org/W2040055677","https://openalex.org/W2955169564","https://openalex.org/W2952427942","https://openalex.org/W4287082262","https://openalex.org/W3177679520"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}