{"id":"https://openalex.org/W4229022520","doi":"https://doi.org/10.1007/s11225-022-09997-y","title":"Splittings in Subreducts of Hoops","display_name":"Splittings in Subreducts of Hoops","publication_year":2022,"publication_date":"2022-05-05","ids":{"openalex":"https://openalex.org/W4229022520","doi":"https://doi.org/10.1007/s11225-022-09997-y"},"language":"en","primary_location":{"id":"doi:10.1007/s11225-022-09997-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11225-022-09997-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11225-022-09997-y.pdf","source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"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":"Studia Logica","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/s11225-022-09997-y.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084297676","display_name":"Paolo Aglian\u00f2","orcid":"https://orcid.org/0000-0002-2860-6157"},"institutions":[{"id":"https://openalex.org/I102064193","display_name":"University of Siena","ror":"https://ror.org/01tevnk56","country_code":"IT","type":"education","lineage":["https://openalex.org/I102064193"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Paolo Aglian\u00f2","raw_affiliation_strings":["University of Siena, Siena, Italy"],"affiliations":[{"raw_affiliation_string":"University of Siena, Siena, Italy","institution_ids":["https://openalex.org/I102064193"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5084297676"],"corresponding_institution_ids":["https://openalex.org/I102064193"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.3006,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.57693854,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"110","issue":"5","first_page":"1155","last_page":"1187"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9884999990463257,"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":0.9868000149726868,"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/fragment","display_name":"Fragment (logic)","score":0.5737758874893188},{"id":"https://openalex.org/keywords/wedge","display_name":"Wedge (geometry)","score":0.5586256384849548},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4141327738761902},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36965101957321167},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2588244080543518},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2123841643333435}],"concepts":[{"id":"https://openalex.org/C2776235265","wikidata":"https://www.wikidata.org/wiki/Q18392052","display_name":"Fragment (logic)","level":2,"score":0.5737758874893188},{"id":"https://openalex.org/C47422493","wikidata":"https://www.wikidata.org/wiki/Q2755127","display_name":"Wedge (geometry)","level":2,"score":0.5586256384849548},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4141327738761902},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36965101957321167},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2588244080543518},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2123841643333435}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11225-022-09997-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11225-022-09997-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11225-022-09997-y.pdf","source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"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":"Studia Logica","raw_type":"journal-article"},{"id":"pmh:oai:usiena-air.unisi.it:11365/1206266","is_oa":true,"landing_page_url":"https://link.springer.com/article/10.1007/s11225-022-09997-y","pdf_url":null,"source":{"id":"https://openalex.org/S4377196319","display_name":"Use Siena air (University of Siena)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102064193","host_organization_name":"University of Siena","host_organization_lineage":["https://openalex.org/I102064193"],"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":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s11225-022-09997-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11225-022-09997-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11225-022-09997-y.pdf","source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"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":"Studia Logica","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4229022520.pdf","grobid_xml":"https://content.openalex.org/works/W4229022520.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W341441520","https://openalex.org/W1545519609","https://openalex.org/W1965682580","https://openalex.org/W1966279115","https://openalex.org/W1972451186","https://openalex.org/W1975684371","https://openalex.org/W2009867803","https://openalex.org/W2042786417","https://openalex.org/W2047865342","https://openalex.org/W2083174445","https://openalex.org/W2098994964","https://openalex.org/W2154114798","https://openalex.org/W2317107785","https://openalex.org/W2524224024","https://openalex.org/W2592837392","https://openalex.org/W2884218370","https://openalex.org/W2900681650","https://openalex.org/W2947556356","https://openalex.org/W2955974482","https://openalex.org/W4233336709","https://openalex.org/W4293176479"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1973480752","https://openalex.org/W2805502594","https://openalex.org/W4253208712","https://openalex.org/W3132641048","https://openalex.org/W2217679042","https://openalex.org/W1603677234","https://openalex.org/W2525971763","https://openalex.org/W2984753899","https://openalex.org/W2783178962"],"abstract_inverted_index":{"Abstract":[0],"In":[1,18],"this":[2],"paper":[3],"we":[4,20],"extend":[5],"to":[6],"various":[7],"classes":[8],"of":[9,11,31,57],"subreducts":[10],"hoops":[12,33,58],"some":[13],"results":[14],"about":[15],"splitting":[16,35,66],"algebras.":[17],"particular":[19],"prove":[21],"that":[22,37],"every":[23,38],"finite":[24,39],"chain":[25,40],"in":[26,41,68],"the":[27,42,65],"purely":[28],"implicational":[29],"fragment":[30,56],"basic":[32],"is":[34,59],"and":[36],"$$\\{\\wedge":[43],",\\rightarrow":[44],"\\}$$":[45],"<mml:math":[46],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[47],"<mml:mrow>":[48],"<mml:mo>{</mml:mo>":[49],"<mml:mo>\u2227</mml:mo>":[50],"<mml:mo>,</mml:mo>":[51],"<mml:mo>\u2192</mml:mo>":[52],"<mml:mo>}</mml:mo>":[53],"</mml:mrow>":[54],"</mml:math>":[55],"splitting.":[60],"We":[61],"also":[62],"produce":[63],"explicitly":[64],"equations":[67],"most":[69],"cases.":[70]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
