{"id":"https://openalex.org/W1986404770","doi":"https://doi.org/10.1002/malq.19950410104","title":"Temporal Algebras, Pretemporal Algebras, and Modal Algebras: A Relation between Time and Necessity","display_name":"Temporal Algebras, Pretemporal Algebras, and Modal Algebras: A Relation between Time and Necessity","publication_year":1995,"publication_date":"1995-01-01","ids":{"openalex":"https://openalex.org/W1986404770","doi":"https://doi.org/10.1002/malq.19950410104","mag":"1986404770"},"language":"en","primary_location":{"id":"doi:10.1002/malq.19950410104","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19950410104","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","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/A5018473336","display_name":"Francisco M. Garc\u00eda Olmedo","orcid":null},"institutions":[{"id":"https://openalex.org/I173304897","display_name":"Universidad de Granada","ror":"https://ror.org/04njjy449","country_code":"ES","type":"education","lineage":["https://openalex.org/I173304897"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Francisco M. Garc\u00eda Olmedo","raw_affiliation_strings":["Departamento de Algebra, Universidad de Granada, 18071 Granada, Espan\u0303a"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Algebra, Universidad de Granada, 18071 Granada, Espan\u0303a","institution_ids":["https://openalex.org/I173304897"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013442128","display_name":"Antonio J. Rodr\u00edguez Salas","orcid":null},"institutions":[{"id":"https://openalex.org/I173304897","display_name":"Universidad de Granada","ror":"https://ror.org/04njjy449","country_code":"ES","type":"education","lineage":["https://openalex.org/I173304897"]},{"id":"https://openalex.org/I4210094404","display_name":"Brain Physiology Lab","ror":"https://ror.org/00hdncs36","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I154526488","https://openalex.org/I204730241","https://openalex.org/I4210094404","https://openalex.org/I4210096427"]}],"countries":["ES","FR"],"is_corresponding":true,"raw_author_name":"Antonio J. Rodr\u00edguez Salas","raw_affiliation_strings":["Departamento de Algebra, Universidad de Granada, 18071 Granada, Espan\u0303a","The third section of this paper was announced by C. R. A. S. in a note entitled \u201cPretemporal Algebras\u201d (see [7])"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Algebra, Universidad de Granada, 18071 Granada, Espan\u0303a","institution_ids":["https://openalex.org/I173304897"]},{"raw_affiliation_string":"The third section of this paper was announced by C. R. A. S. in a note entitled \u201cPretemporal Algebras\u201d (see [7])","institution_ids":["https://openalex.org/I4210094404"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5013442128","https://openalex.org/A5018473336"],"corresponding_institution_ids":["https://openalex.org/I173304897","https://openalex.org/I4210094404"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.12464455,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"41","issue":"1","first_page":"24","last_page":"38"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9495999813079834,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9495999813079834,"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":0.7095608711242676},{"id":"https://openalex.org/keywords/interior-algebra","display_name":"Interior algebra","score":0.7001134753227234},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.662628710269928},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.6043001413345337},{"id":"https://openalex.org/keywords/nest-algebra","display_name":"Nest algebra","score":0.5308388471603394},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.515663743019104},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5141361355781555},{"id":"https://openalex.org/keywords/non-associative-algebra","display_name":"Non-associative algebra","score":0.34154754877090454},{"id":"https://openalex.org/keywords/algebra-representation","display_name":"Algebra representation","score":0.30432790517807007},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1257033348083496},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.037293463945388794}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7095608711242676},{"id":"https://openalex.org/C203254541","wikidata":"https://www.wikidata.org/wiki/Q10894825","display_name":"Interior algebra","level":5,"score":0.7001134753227234},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.662628710269928},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.6043001413345337},{"id":"https://openalex.org/C207264727","wikidata":"https://www.wikidata.org/wiki/Q6997759","display_name":"Nest algebra","level":5,"score":0.5308388471603394},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.515663743019104},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5141361355781555},{"id":"https://openalex.org/C518143113","wikidata":"https://www.wikidata.org/wiki/Q4391941","display_name":"Non-associative algebra","level":4,"score":0.34154754877090454},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.30432790517807007},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1257033348083496},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.037293463945388794},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/malq.19950410104","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19950410104","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4699999988079071,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1566551935","https://openalex.org/W1596067335","https://openalex.org/W2017542140","https://openalex.org/W2023648368","https://openalex.org/W2069896809","https://openalex.org/W2120935172","https://openalex.org/W4242309855","https://openalex.org/W4293176479"],"related_works":["https://openalex.org/W1871060787","https://openalex.org/W4297804032","https://openalex.org/W138371909","https://openalex.org/W2389970742","https://openalex.org/W2945617276","https://openalex.org/W2129239480","https://openalex.org/W947423921","https://openalex.org/W2322840450","https://openalex.org/W4387061410","https://openalex.org/W4253610115"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper":[3,22],"the":[4],"structure":[5],"of":[6,15],"pretemporal":[7],"algebra":[8],"is":[9],"used":[10],"to":[11,27],"study":[12],"some":[13],"aspects":[14],"temporal":[16,29,38],"algebras":[17,30],"and":[18,31],"modal":[19],"algebras.":[20,39],"The":[21],"contains":[23],"a":[24,32],"computational":[25],"approach":[26],"finite":[28,37],"general":[33],"splitting":[34],"theorem":[35],"for":[36]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-23T06:36:01.041984","created_date":"2025-10-10T00:00:00"}
