{"id":"https://openalex.org/W3207242279","doi":"https://doi.org/10.1017/s1755020322000302","title":"ON SHAVRUKOV\u2019S NON-ISOMORPHISM THEOREM FOR DIAGONALIZABLE ALGEBRAS","display_name":"ON SHAVRUKOV\u2019S NON-ISOMORPHISM THEOREM FOR DIAGONALIZABLE ALGEBRAS","publication_year":2022,"publication_date":"2022-09-12","ids":{"openalex":"https://openalex.org/W3207242279","doi":"https://doi.org/10.1017/s1755020322000302","mag":"3207242279"},"language":"en","primary_location":{"id":"doi:10.1017/s1755020322000302","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s1755020322000302","pdf_url":null,"source":{"id":"https://openalex.org/S24077076","display_name":"The Review of Symbolic Logic","issn_l":"1755-0203","issn":["1755-0203","1755-0211"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Review of Symbolic Logic","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/A5067851704","display_name":"\u0415. \u0410. \u041a\u043e\u043b\u043c\u0430\u043a\u043e\u0432","orcid":"https://orcid.org/0000-0002-6526-9719"},"institutions":[{"id":"https://openalex.org/I2801160905","display_name":"Steklov Mathematical Institute","ror":"https://ror.org/03zeg8w71","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2801160905","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"EVGENY A. KOLMAKOV","raw_affiliation_strings":["DEPARTMENT OF MATHEMATICAL LOGIC STEKLOV MATHEMATICAL INSTITUTE OF RUSSIAN ACADEMY OF SCIENCES 8 GUBKINA STREET, MOSCOW 119991, RUSSIA E-mail:"],"raw_orcid":"https://orcid.org/0000-0002-6526-9719","affiliations":[{"raw_affiliation_string":"DEPARTMENT OF MATHEMATICAL LOGIC STEKLOV MATHEMATICAL INSTITUTE OF RUSSIAN ACADEMY OF SCIENCES 8 GUBKINA STREET, MOSCOW 119991, RUSSIA E-mail:","institution_ids":["https://openalex.org/I2801160905"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5067851704"],"corresponding_institution_ids":["https://openalex.org/I2801160905"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01847555,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"1","first_page":"206","last_page":"243"},"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.998199999332428,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9955000281333923,"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/diagonalizable-matrix","display_name":"Diagonalizable matrix","score":0.9511200189590454},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6259647607803345},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.6193040013313293},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5427253246307373},{"id":"https://openalex.org/keywords/surjective-function","display_name":"Surjective function","score":0.5400257110595703},{"id":"https://openalex.org/keywords/isomorphism-theorem","display_name":"Isomorphism theorem","score":0.4494669735431671},{"id":"https://openalex.org/keywords/homomorphism","display_name":"Homomorphism","score":0.4127846360206604},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.39926666021347046},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35130172967910767},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.18917983770370483},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.10839614272117615},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09757786989212036},{"id":"https://openalex.org/keywords/crystallography","display_name":"Crystallography","score":0.08346828818321228},{"id":"https://openalex.org/keywords/crystal-structure","display_name":"Crystal structure","score":0.05471676588058472}],"concepts":[{"id":"https://openalex.org/C30072841","wikidata":"https://www.wikidata.org/wiki/Q1767080","display_name":"Diagonalizable matrix","level":4,"score":0.9511200189590454},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6259647607803345},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.6193040013313293},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5427253246307373},{"id":"https://openalex.org/C119238805","wikidata":"https://www.wikidata.org/wiki/Q229102","display_name":"Surjective function","level":2,"score":0.5400257110595703},{"id":"https://openalex.org/C26231708","wikidata":"https://www.wikidata.org/wiki/Q1065966","display_name":"Isomorphism theorem","level":2,"score":0.4494669735431671},{"id":"https://openalex.org/C4042151","wikidata":"https://www.wikidata.org/wiki/Q215111","display_name":"Homomorphism","level":2,"score":0.4127846360206604},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.39926666021347046},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35130172967910767},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.18917983770370483},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.10839614272117615},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09757786989212036},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.08346828818321228},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.05471676588058472},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s1755020322000302","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s1755020322000302","pdf_url":null,"source":{"id":"https://openalex.org/S24077076","display_name":"The Review of Symbolic Logic","issn_l":"1755-0203","issn":["1755-0203","1755-0211"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Review of Symbolic Logic","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1506408146","https://openalex.org/W1588094391","https://openalex.org/W1985542534","https://openalex.org/W1989622830","https://openalex.org/W1989844562","https://openalex.org/W2035245701","https://openalex.org/W2038671477","https://openalex.org/W2040404640","https://openalex.org/W2041395883","https://openalex.org/W2050976788","https://openalex.org/W2059933820","https://openalex.org/W2076792546","https://openalex.org/W2089442854","https://openalex.org/W2091112568","https://openalex.org/W2127748867","https://openalex.org/W2144226831","https://openalex.org/W2145210098","https://openalex.org/W2798507261","https://openalex.org/W3149302317","https://openalex.org/W4239934161","https://openalex.org/W4253934133","https://openalex.org/W6665378090","https://openalex.org/W6793934691"],"related_works":["https://openalex.org/W2784745440","https://openalex.org/W3143269295","https://openalex.org/W2386314338","https://openalex.org/W2376584285","https://openalex.org/W2056695797","https://openalex.org/W1973611015","https://openalex.org/W2389993406","https://openalex.org/W2264022753","https://openalex.org/W2354689617","https://openalex.org/W1510249257"],"abstract_inverted_index":{"Abstract":[0],"We":[1,29,86],"prove":[2],"a":[3],"strengthened":[4,36],"version":[5],"of":[6,12,15,44,79,90,92],"Shavrukov\u2019s":[7],"result":[8,37],"on":[9,22],"the":[10,23,35,62,70],"non-isomorphism":[11,49],"diagonalizable":[13,81,96,101],"algebras":[14,82,97],"two":[16],"$\\Sigma":[17],"_1$":[18],"-sound":[19],"theories,":[20],"based":[21],"improvements":[24],"previously":[25],"found":[26],"by":[27,38],"Adamsson.":[28],"then":[30],"obtain":[31,47],"several":[32,88],"corollaries":[33],"to":[34,41],"applying":[39],"it":[40],"various":[42],"pairs":[43,91],"theories":[45,93],"and":[46],"new":[48],"examples.":[50],"In":[51],"particular,":[52],"we":[53],"show":[54],"that":[55],"there":[56],"are":[57],"no":[58],"surjective":[59],"homomorphisms":[60],"from":[61],"algebra":[63,71],"$(\\mathfrak":[64,72],"{L}_T,":[65,73],"\\Box":[66,74],"_T\\Box":[67],"_T)$":[68,75],"onto":[69],".":[76],"The":[77],"case":[78],"bimodal":[80,100],"is":[83],"also":[84],"considered.":[85],"give":[87],"examples":[89],"with":[94],"isomorphic":[95],"but":[98],"non-isomorphic":[99],"algebras.":[102]},"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}