{"id":"https://openalex.org/W4295137468","doi":"https://doi.org/10.1142/s0218196722500692","title":"BL-global representations","display_name":"BL-global representations","publication_year":2022,"publication_date":"2022-09-09","ids":{"openalex":"https://openalex.org/W4295137468","doi":"https://doi.org/10.1142/s0218196722500692"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196722500692","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196722500692","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/A5111761143","display_name":"D. Vaggione","orcid":null},"institutions":[{"id":"https://openalex.org/I166401450","display_name":"Universidad Nacional de C\u00f3rdoba","ror":"https://ror.org/056tb7j80","country_code":"AR","type":"education","lineage":["https://openalex.org/I166401450"]}],"countries":["AR"],"is_corresponding":true,"raw_author_name":"D. Vaggione","raw_affiliation_strings":["FAMAF, Facultad de Matem\u00e1tica, Astronom\u00eda, F\u00edsica y Computaci\u00f3n, Universidad Nacional de C\u00f3rdoba, C\u00f3rdoba, Argentina"],"affiliations":[{"raw_affiliation_string":"FAMAF, Facultad de Matem\u00e1tica, Astronom\u00eda, F\u00edsica y Computaci\u00f3n, Universidad Nacional de C\u00f3rdoba, C\u00f3rdoba, Argentina","institution_ids":["https://openalex.org/I166401450"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111761143"],"corresponding_institution_ids":["https://openalex.org/I166401450"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12619784,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"32","issue":"08","first_page":"1545","last_page":"1566"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9997000098228455,"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":0.9997000098228455,"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/T11567","display_name":"semigroups and automata theory","score":0.9973999857902527,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/mathematics","display_name":"Mathematics","score":0.881436288356781},{"id":"https://openalex.org/keywords/sheaf","display_name":"Sheaf","score":0.5793941020965576},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.43279507756233215},{"id":"https://openalex.org/keywords/representation-theorem","display_name":"Representation theorem","score":0.42824065685272217},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4247703552246094},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35468101501464844}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.881436288356781},{"id":"https://openalex.org/C4017995","wikidata":"https://www.wikidata.org/wiki/Q595298","display_name":"Sheaf","level":2,"score":0.5793941020965576},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.43279507756233215},{"id":"https://openalex.org/C2776230367","wikidata":"https://www.wikidata.org/wiki/Q7314222","display_name":"Representation theorem","level":2,"score":0.42824065685272217},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4247703552246094},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35468101501464844}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196722500692","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196722500692","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W381328674","https://openalex.org/W1525647423","https://openalex.org/W1542760485","https://openalex.org/W1556262405","https://openalex.org/W1582269801","https://openalex.org/W1966723570","https://openalex.org/W2000086898","https://openalex.org/W2005764387","https://openalex.org/W2008974693","https://openalex.org/W2009380224","https://openalex.org/W2018277356","https://openalex.org/W2018277369","https://openalex.org/W2030157699","https://openalex.org/W2041386419","https://openalex.org/W2042481904","https://openalex.org/W2055359897","https://openalex.org/W2055921182","https://openalex.org/W2064286312","https://openalex.org/W2065199850","https://openalex.org/W2073786152","https://openalex.org/W2093461317","https://openalex.org/W2111226988","https://openalex.org/W2317904609","https://openalex.org/W2793917732","https://openalex.org/W2888164251","https://openalex.org/W2900874617","https://openalex.org/W2914344893","https://openalex.org/W3047122219","https://openalex.org/W3158200325"],"related_works":["https://openalex.org/W623152144","https://openalex.org/W3100370356","https://openalex.org/W4309801432","https://openalex.org/W2963290131","https://openalex.org/W54156766","https://openalex.org/W4297942418","https://openalex.org/W2808776040","https://openalex.org/W193509007","https://openalex.org/W1489770165","https://openalex.org/W4242948579"],"abstract_inverted_index":{"A":[0,44],"subdirect":[1,89,115],"product":[2,90],"[Formula:":[3,14,20,37,41,46,57,73,81,95],"see":[4,15,21,38,42,47,58,74,82,96],"text]":[5,16,22,39,48,59,83],"is":[6,10,54,84,130,174],"global":[7,27,88,157],"if":[8,52],"there":[9,53],"a":[11,30,55,87,131,134,156,175,186],"topology":[12],"on":[13],"which":[17,151],"makes":[18],"of":[19,25,29,66,72,80,107,133,155,159,164,167,180],"the":[23,35,64,112,153,165,178],"algebra":[24,161],"all":[26,67],"sections":[28],"sheaf":[31],"whose":[32,91],"stalks":[33],"are":[34,93,109],"algebras":[36],"with":[40,185],"text].":[43,97],"quasivariety":[45],"has":[49,123],"BL-global":[50,181],"representations":[51,108,182],"class":[56,65],"containing":[60],"but":[61],"close":[62],"to":[63,86,102,111],"relatively":[68,118],"subdirectly":[69,119],"irreducible":[70],"members":[71],"text],":[75],"satisfying":[76],"that":[77],"every":[78],"member":[79],"isomorphic":[85],"factors":[92],"in":[94,137,162],"The":[98,127,171],"adjective":[99],"\u201cBL\u201d":[100],"refers":[101],"\u201cBirkhoff-like\u201d":[103],"since":[104],"this":[105],"type":[106],"analogous":[110],"classical":[113],"Birkhoff":[114],"representation":[116,141,158],"by":[117],"irreducibles.":[120],"This":[121],"paper":[122],"two":[124],"main":[125],"contributions.":[126],"first":[128],"one":[129,173],"generalization":[132],"theorem":[135,176],"proved":[136],"[D.":[138],"Vaggione,":[139],"Sheaf":[140],"and":[142],"Chinese":[143],"remainder":[144],"theorems,":[145],"Algebra":[146],"Universalis":[147],"29":[148],"(1992)":[149],"232\u2013272]":[150],"characterizes":[152],"existence":[154,179],"an":[160],"terms":[163],"solvability":[166],"certain":[168],"congruence":[169],"systems.":[170],"second":[172],"assuring":[177],"for":[183],"quasivarieties":[184],"near":[187],"unanimity":[188],"term.":[189]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
