{"id":"https://openalex.org/W2166116128","doi":"https://doi.org/10.1155/2014/952068","title":"<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\"><mml:mrow><mml:msup><mml:mi>C</mml:mi><mml:mo>\u2217</mml:mo></mml:msup></mml:mrow></mml:math>-Algebras Associated with Hilbert<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" id=\"M2\"><mml:mrow><mml:msup><mml:mi>C</mml:mi><mml:mo>\u2217</mml:mo></mml:msup></mml:mrow></mml:math>-Quad Modules of Finite Type","display_name":"<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\"><mml:mrow><mml:msup><mml:mi>C</mml:mi><mml:mo>\u2217</mml:mo></mml:msup></mml:mrow></mml:math>-Algebras Associated with Hilbert<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" id=\"M2\"><mml:mrow><mml:msup><mml:mi>C</mml:mi><mml:mo>\u2217</mml:mo></mml:msup></mml:mrow></mml:math>-Quad Modules of Finite Type","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2166116128","doi":"https://doi.org/10.1155/2014/952068","mag":"2166116128"},"language":"lv","primary_location":{"id":"doi:10.1155/2014/952068","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/952068","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2014/952068.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/ijmms/2014/952068.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027190910","display_name":"Kengo Matsumoto","orcid":null},"institutions":[{"id":"https://openalex.org/I8721504","display_name":"Joetsu University of Education","ror":"https://ror.org/02xjxgz53","country_code":"JP","type":"education","lineage":["https://openalex.org/I8721504"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Kengo Matsumoto","raw_affiliation_strings":["Department of Mathematics, Joetsu University of Education, Joetsu 943-8512, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Joetsu University of Education, Joetsu 943-8512, Japan","institution_ids":["https://openalex.org/I8721504"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5027190910"],"corresponding_institution_ids":["https://openalex.org/I8721504"],"apc_list":{"value":1050,"currency":"USD","value_usd":1050},"apc_paid":{"value":1050,"currency":"USD","value_usd":1050},"fwci":0.4085,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.61261691,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"21"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10899","display_name":"Advanced Operator Algebra Research","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9987999796867371,"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"}},{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9973999857902527,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6440543532371521},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3599512577056885},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3251578211784363}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6440543532371521},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3599512577056885},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3251578211784363}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/2014/952068","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/952068","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2014/952068.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:bdae71fd43d94ecabc7b85cce4324b57","is_oa":true,"landing_page_url":"https://doaj.org/article/bdae71fd43d94ecabc7b85cce4324b57","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences, Vol 2014 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2014/952068","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/952068","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2014/952068.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3757690907","display_name":"Applications of operator algebras to symbolic dynamicaal systems","funder_award_id":"23540237","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2166116128.pdf","grobid_xml":"https://content.openalex.org/works/W2166116128.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1489240380","https://openalex.org/W1517904092","https://openalex.org/W1878907969","https://openalex.org/W1987693226","https://openalex.org/W2005553485","https://openalex.org/W2053403734","https://openalex.org/W2061890881","https://openalex.org/W2065145870","https://openalex.org/W2065473952","https://openalex.org/W2068504889","https://openalex.org/W2071724683","https://openalex.org/W2075987172","https://openalex.org/W2169485138","https://openalex.org/W2280816444","https://openalex.org/W2963153751","https://openalex.org/W4252769805"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2350741829","https://openalex.org/W2130043461"],"abstract_inverted_index":{"A":[0],"Hilbert<mml:math":[1,12,27,51],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[2,13,23,28,48,52],"id=\"M3\"><mml:mrow><mml:msup><mml:mi>C</mml:mi><mml:mo>\u2217</mml:mo></mml:msup></mml:mrow></mml:math>-quad":[3],"module":[4,30],"of":[5,11,31,46,55],"finite":[6,17,32,56],"type":[7,33,57],"has":[8],"a":[9,26],"multistructure":[10],"id=\"M4\"><mml:mrow><mml:msup><mml:mi>C</mml:mi><mml:mo>\u2217</mml:mo></mml:msup></mml:mrow></mml:math>-bimodules":[14],"with":[15],"two":[16],"bases.":[18],"We":[19],"will":[20,58],"construct":[21],"a<mml:math":[22],"id=\"M5\"><mml:mrow><mml:msup><mml:mi>C</mml:mi><mml:mo>\u2217</mml:mo></mml:msup></mml:mrow></mml:math>-algebra":[24],"from":[25,50],"id=\"M6\"><mml:mrow><mml:msup><mml:mi>C</mml:mi><mml:mo>\u2217</mml:mo></mml:msup></mml:mrow></mml:math>-quad":[29],"and":[34],"prove":[35],"its":[36],"universality":[37],"subject":[38],"to":[39],"certain":[40],"relations":[41],"among":[42],"generators.":[43],"Some":[44],"examples":[45],"the<mml:math":[47],"id=\"M7\"><mml:mrow><mml:msup><mml:mi>C</mml:mi><mml:mo>\u2217</mml:mo></mml:msup></mml:mrow></mml:math>-algebras":[49],"id=\"M8\"><mml:mrow><mml:msup><mml:mi>C</mml:mi><mml:mo>\u2217</mml:mo></mml:msup></mml:mrow></mml:math>-quad":[53],"modules":[54],"be":[59],"presented.":[60]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2016-06-24T00:00:00"}