{"id":"https://openalex.org/W7133554798","doi":"https://doi.org/10.1007/s10485-026-09849-z","title":"McKinsey-Tarski Algebras and Raney Extensions","display_name":"McKinsey-Tarski Algebras and Raney Extensions","publication_year":2026,"publication_date":"2026-03-04","ids":{"openalex":"https://openalex.org/W7133554798","doi":"https://doi.org/10.1007/s10485-026-09849-z"},"language":"en","primary_location":{"id":"doi:10.1007/s10485-026-09849-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10485-026-09849-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10485-026-09849-z.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10485-026-09849-z.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5128042895","display_name":"G. Bezhanishvili","orcid":null},"institutions":[{"id":"https://openalex.org/I10052268","display_name":"New Mexico State University","ror":"https://ror.org/00hpz7z43","country_code":"US","type":"education","lineage":["https://openalex.org/I10052268"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"G. Bezhanishvili","raw_affiliation_strings":["New Mexico State University, Las Cruces, NM, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"New Mexico State University, Las Cruces, NM, USA","institution_ids":["https://openalex.org/I10052268"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5128043464","display_name":"R. Raviprakash","orcid":null},"institutions":[{"id":"https://openalex.org/I95023434","display_name":"University of KwaZulu-Natal","ror":"https://ror.org/04qzfn040","country_code":"ZA","type":"education","lineage":["https://openalex.org/I95023434"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"R. Raviprakash","raw_affiliation_strings":["University of KwaZulu-Natal, Durban, South Africa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of KwaZulu-Natal, Durban, South Africa","institution_ids":["https://openalex.org/I95023434"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5128097870","display_name":"A. Gonz\u00e1lez Su\u00e1rez","orcid":null},"institutions":[{"id":"https://openalex.org/I869660684","display_name":"University of the Western Cape","ror":"https://ror.org/00h2vm590","country_code":"ZA","type":"education","lineage":["https://openalex.org/I869660684"]}],"countries":["ZA"],"is_corresponding":true,"raw_author_name":"A. L. Suarez","raw_affiliation_strings":["University of the Western Cape, Bellville, South Africa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of the Western Cape, Bellville, South Africa","institution_ids":["https://openalex.org/I869660684"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5128118213","display_name":"J. Walters-Wayland","orcid":null},"institutions":[{"id":"https://openalex.org/I185071736","display_name":"Chapman University","ror":"https://ror.org/0452jzg20","country_code":"US","type":"education","lineage":["https://openalex.org/I185071736"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. Walters-Wayland","raw_affiliation_strings":["CECAT, Chapman University, Orange, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CECAT, Chapman University, Orange, CA, USA","institution_ids":["https://openalex.org/I185071736"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5128097870"],"corresponding_institution_ids":["https://openalex.org/I869660684"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":{"value":2990,"currency":"USD","value_usd":2990},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.36529284,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"34","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.42969998717308044,"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"}},"topics":[{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.42969998717308044,"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"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.1996999979019165,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.10689999908208847,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/morphism","display_name":"Morphism","score":0.8361999988555908},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.6333000063896179},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5734999775886536},{"id":"https://openalex.org/keywords/envelope","display_name":"Envelope (radar)","score":0.46219998598098755},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.42739999294281006}],"concepts":[{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.8361999988555908},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6502000093460083},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.6333000063896179},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5734999775886536},{"id":"https://openalex.org/C65155139","wikidata":"https://www.wikidata.org/wiki/Q5380912","display_name":"Envelope (radar)","level":3,"score":0.46219998598098755},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.42739999294281006},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.31119999289512634},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.301800012588501},{"id":"https://openalex.org/C203264685","wikidata":"https://www.wikidata.org/wiki/Q2328174","display_name":"Atomic formula","level":2,"score":0.23819999396800995},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.23800000548362732}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10485-026-09849-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10485-026-09849-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10485-026-09849-z.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Categorical Structures","raw_type":"journal-article"},{"id":"pmh:oai:digitalcommons.chapman.edu:scs_articles-2168","is_oa":true,"landing_page_url":"https://digitalcommons.chapman.edu/scs_articles/1168","pdf_url":null,"source":{"id":"https://openalex.org/S4377196324","display_name":"Chapman University Digital Commons (Chapman University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I185071736","host_organization_name":"Chapman University","host_organization_lineage":["https://openalex.org/I185071736"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematics, Physics, and Computer Science Faculty Articles and Research","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1007/s10485-026-09849-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10485-026-09849-z","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10485-026-09849-z.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Categorical Structures","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1499778340","display_name":"Center for Mathematics, University of Coimbra","funder_award_id":"UIDB/00324/2020","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G4941397794","display_name":null,"funder_award_id":"UIDB/00324/2020","funder_id":"https://openalex.org/F4320323392","funder_display_name":"Universidade de Coimbra"}],"funders":[{"id":"https://openalex.org/F4320321970","display_name":"University of the Western Cape","ror":"https://ror.org/00h2vm590"},{"id":"https://openalex.org/F4320323392","display_name":"Universidade de Coimbra","ror":"https://ror.org/04z8k9a98"},{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7133554798.pdf","grobid_xml":"https://content.openalex.org/works/W7133554798.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W653881238","https://openalex.org/W1494056277","https://openalex.org/W2014830113","https://openalex.org/W2022860141","https://openalex.org/W2050527500","https://openalex.org/W2073714748","https://openalex.org/W2093397547","https://openalex.org/W2114303461","https://openalex.org/W2388886173","https://openalex.org/W2487483580","https://openalex.org/W3048127691","https://openalex.org/W3215641557","https://openalex.org/W4205529794","https://openalex.org/W4386813804","https://openalex.org/W4416930527"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"We":[1],"introduce":[2],"the":[3,13,19,29,32,42,59],"notion":[4,40],"of":[5,21,31,35,41,52,58,69],"Raney":[6,22,54],"morphism":[7],"between":[8],"MT-algebras":[9],"and":[10],"show":[11],"that":[12,57],"resulting":[14,39],"category":[15,20],"is":[16,25],"equivalent":[17],"to":[18],"extensions.":[23],"This":[24],"done":[26],"by":[27],"generalizing":[28],"construction":[30],"Funayama":[33],"envelope":[34],"a":[36,53,70],"frame.":[37,71],"The":[38],"$$T_0$$":[43],"<mml:math":[44,61],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[45,62],"<mml:msub>":[46,63],"<mml:mi>T</mml:mi>":[47,64],"<mml:mn>0</mml:mn>":[48],"</mml:msub>":[49,66],"</mml:math>":[50,67],"-hull":[51,68],"extension":[55],"generalizes":[56],"$$T_D$$":[60],"<mml:mi>D</mml:mi>":[65]},"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2026-03-05T00:00:00"}
