{"id":"https://openalex.org/W4319945859","doi":"https://doi.org/10.1007/s00153-023-00866-6","title":"Involutive symmetric G\u00f6del spaces, their algebraic duals and logic","display_name":"Involutive symmetric G\u00f6del spaces, their algebraic duals and logic","publication_year":2023,"publication_date":"2023-02-10","ids":{"openalex":"https://openalex.org/W4319945859","doi":"https://doi.org/10.1007/s00153-023-00866-6"},"language":"lv","primary_location":{"id":"doi:10.1007/s00153-023-00866-6","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s00153-023-00866-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00153-023-00866-6.pdf","source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":"Archive for Mathematical Logic","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/s00153-023-00866-6.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112319645","display_name":"Antonio Di Nola","orcid":null},"institutions":[{"id":"https://openalex.org/I131729948","display_name":"University of Salerno","ror":"https://ror.org/0192m2k53","country_code":"IT","type":"education","lineage":["https://openalex.org/I131729948"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"A. Di Nola","raw_affiliation_strings":["University of Salerno: Universita degli Studi di Salerno, Fisciano, Italy"],"affiliations":[{"raw_affiliation_string":"University of Salerno: Universita degli Studi di Salerno, Fisciano, Italy","institution_ids":["https://openalex.org/I131729948"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032651196","display_name":"Revaz Grigolia","orcid":null},"institutions":[{"id":"https://openalex.org/I102808428","display_name":"Tbilisi State University","ror":"https://ror.org/05fd1hd85","country_code":"GE","type":"education","lineage":["https://openalex.org/I102808428"]},{"id":"https://openalex.org/I131762061","display_name":"Georgian Technical University","ror":"https://ror.org/00aamz256","country_code":"GE","type":"education","lineage":["https://openalex.org/I131762061"]}],"countries":["GE"],"is_corresponding":false,"raw_author_name":"R. Grigolia","raw_affiliation_strings":["Tbilisi State University, Georgian Technical University, Tbilisi, Georgia"],"affiliations":[{"raw_affiliation_string":"Tbilisi State University, Georgian Technical University, Tbilisi, Georgia","institution_ids":["https://openalex.org/I131762061","https://openalex.org/I102808428"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065541904","display_name":"Gaetano Vitale","orcid":"https://orcid.org/0000-0001-5744-2334"},"institutions":[{"id":"https://openalex.org/I131729948","display_name":"University of Salerno","ror":"https://ror.org/0192m2k53","country_code":"IT","type":"education","lineage":["https://openalex.org/I131729948"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"G. Vitale","raw_affiliation_strings":["University of Salerno: Universita degli Studi di Salerno, Fisciano, Italy"],"affiliations":[{"raw_affiliation_string":"University of Salerno: Universita degli Studi di Salerno, Fisciano, Italy","institution_ids":["https://openalex.org/I131729948"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5065541904"],"corresponding_institution_ids":["https://openalex.org/I131729948"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02328502,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"62","issue":"5-6","first_page":"789","last_page":"809"},"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9939000010490417,"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/T12748","display_name":"Molecular spectroscopy and chirality","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/1607","display_name":"Spectroscopy"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5237971544265747},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2800372242927551}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5237971544265747},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2800372242927551}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00153-023-00866-6","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s00153-023-00866-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00153-023-00866-6.pdf","source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":"Archive for Mathematical Logic","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00153-023-00866-6","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s00153-023-00866-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00153-023-00866-6.pdf","source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":"Archive for Mathematical Logic","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320324133","display_name":"Universit\u00e0 degli Studi di Salerno","ror":"https://ror.org/0192m2k53"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4319945859.pdf"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W34098931","https://openalex.org/W315585249","https://openalex.org/W1970249071","https://openalex.org/W1985104705","https://openalex.org/W2003758711","https://openalex.org/W2007096790","https://openalex.org/W2012072427","https://openalex.org/W2014085418","https://openalex.org/W2017096836","https://openalex.org/W2036244493","https://openalex.org/W2089322094","https://openalex.org/W2093397547","https://openalex.org/W2098563247","https://openalex.org/W2140351059","https://openalex.org/W2330601951","https://openalex.org/W2964042263","https://openalex.org/W4302551209","https://openalex.org/W4388311772"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2544423928","https://openalex.org/W2053286651","https://openalex.org/W2181743346","https://openalex.org/W2187401768","https://openalex.org/W2181413294","https://openalex.org/W2052122378","https://openalex.org/W4313731559","https://openalex.org/W2062023542"],"abstract_inverted_index":{"Abstract":[0],"It":[1],"is":[2,37,60,106,147,177,186,199],"introduced":[3],"a":[4,61],"new":[5],"algebra":[6,44,63,66],"$$(A,":[7,26,93,124],"\\otimes":[8,27,94,125,153,167],",":[9,11,14,28,30,55,95,97,100,126,128,154,156,159,168,170],"\\oplus":[10,29,96,127,155,169],"*,":[12,31,98,129,157,171],"\\rightharpoonup":[13,71,76,99,158],"0,":[15,32,56,101,130,160,172],"1)$$":[16,33,57,102,131,161,173],"<mml:math":[17,22,34,39,58,80,90,103,132,140,144,162,174,183,197,209],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mo>(</mml:mo><mml:mi>A</mml:mi><mml:mo>,</mml:mo><mml:mo>\u2297</mml:mo><mml:mo>,</mml:mo><mml:mo>\u2295</mml:mo><mml:mo>,</mml:mo><mml:mrow":[18,35,104,133],"/><mml:mo>\u2217</mml:mo><mml:mo>,</mml:mo><mml:mo>\u21c0</mml:mo><mml:mo>,</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>":[19,105,164],"called":[20],"$$L_PG$$":[21,89,143,182,196,208],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mi>P</mml:mi></mml:msub><mml:mi>G</mml:mi></mml:mrow></mml:math>":[23,91,141,145,184,198,210],"-algebra":[24,41,92,123,185],"if":[25],"/><mml:mo>\u2217</mml:mo><mml:mo>,</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>":[36,134,176],"$$L_P$$":[38],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:msub><mml:mi>L</mml:mi><mml:mi>P</mml:mi></mml:msub></mml:math>":[40],"(i.e.":[42,64,114],"an":[43,88],"from":[45],"the":[46,68,109,121,150,194],"variety":[47,137],"generated":[48,148,206],"by":[49,149],"perfect":[50],"MV":[51,118,122,179],"-algebras)":[52],"and":[53],"$$(A,\\rightharpoonup":[54],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mo>(</mml:mo><mml:mi>A</mml:mi><mml:mo>,</mml:mo><mml:mo>\u21c0</mml:mo><mml:mo>,</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>":[59],"G\u00f6del":[62],"Heyting":[65],"satisfying":[67],"identity":[69],"$$(x":[70],"y":[72],")":[73,78],"\\vee":[74],"(y":[75],"x":[77],"=1)$$":[79],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>\u21c0</mml:mo><mml:mi>y</mml:mi><mml:mo>)</mml:mo><mml:mo>\u2228</mml:mo><mml:mo>(</mml:mo><mml:mi>y</mml:mi><mml:mo>\u21c0</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>":[81],".":[82,135],"The":[83,136,189],"lattice":[84,110],"of":[85,87,111,117,120,142,191,193],"congruences":[86],"isomorphic":[107],"to":[108],"Skolem":[112],"filters":[113],"special":[115],"type":[116],"-filters)":[119],"$$\\mathbf":[138],"{L_PG}$$":[139],"-algebras":[146],"algebras":[151],"$$(C,":[152,166],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mo>(</mml:mo><mml:mi>C</mml:mi><mml:mo>,</mml:mo><mml:mo>\u2297</mml:mo><mml:mo>,</mml:mo><mml:mo>\u2295</mml:mo><mml:mo>,</mml:mo><mml:mrow":[163,175],"where":[165],"Chang":[178],"-algebra.":[180],"Any":[181],"bi-Heyting":[187],"algebra.":[188],"set":[190],"theorems":[192],"logic":[195],"recursively":[200],"enumerable.":[201],"Moreover,":[202],"we":[203],"describe":[204],"finitely":[205],"free":[207],"-algebras.":[211]},"counts_by_year":[],"updated_date":"2025-12-21T01:58:51.020947","created_date":"2025-10-10T00:00:00"}
