{"id":"https://openalex.org/W2102364953","doi":"https://doi.org/10.1155/2012/280636","title":"Morita Equivalence of Brandt Semigroup Algebras","display_name":"Morita Equivalence of Brandt Semigroup Algebras","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2102364953","doi":"https://doi.org/10.1155/2012/280636","mag":"2102364953"},"language":"en","primary_location":{"id":"doi:10.1155/2012/280636","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2012/280636","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/280636.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/2012/280636.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043781888","display_name":"Maysam Maysami Sadr","orcid":"https://orcid.org/0000-0003-0747-4180"},"institutions":[{"id":"https://openalex.org/I161028277","display_name":"Institute for Advanced Studies in Basic Sciences","ror":"https://ror.org/00bzsst90","country_code":"IR","type":"education","lineage":["https://openalex.org/I161028277"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Maysam Maysami Sadr","raw_affiliation_strings":["Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS of Zanjan), P.O. Box 45195-1159, Zanjan 45137-66731, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS of Zanjan), P.O. Box 45195-1159, Zanjan 45137-66731, Iran","institution_ids":["https://openalex.org/I161028277"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5043781888"],"corresponding_institution_ids":["https://openalex.org/I161028277"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.15050801,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2012","issue":null,"first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10899","display_name":"Advanced Operator Algebra Research","score":0.9994000196456909,"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":0.9994000196456909,"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/T11567","display_name":"semigroups and automata theory","score":0.9990000128746033,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9962000250816345,"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/morita-equivalence","display_name":"Morita equivalence","score":0.9265154004096985},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9015734195709229},{"id":"https://openalex.org/keywords/morita-therapy","display_name":"Morita therapy","score":0.7896124124526978},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.6748145818710327},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.6459009647369385},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5720045566558838},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5135715007781982},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.4967963993549347},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3656396269798279},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.33823442459106445},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10710465908050537}],"concepts":[{"id":"https://openalex.org/C134941585","wikidata":"https://www.wikidata.org/wiki/Q6912366","display_name":"Morita equivalence","level":2,"score":0.9265154004096985},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9015734195709229},{"id":"https://openalex.org/C85769624","wikidata":"https://www.wikidata.org/wiki/Q2981893","display_name":"Morita therapy","level":2,"score":0.7896124124526978},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.6748145818710327},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6459009647369385},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5720045566558838},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5135715007781982},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.4967963993549347},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3656396269798279},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33823442459106445},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10710465908050537},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1155/2012/280636","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2012/280636","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/280636.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:CiteSeerX.psu:10.1.1.313.5033","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.313.5033","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/0808.2942v1.pdf","raw_type":"text"},{"id":"pmh:oai:RePEc:hin:jijmms:280636","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/IJMMS/2012/280636.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:55854e782907489a9cfca121270062d7","is_oa":true,"landing_page_url":"https://doaj.org/article/55854e782907489a9cfca121270062d7","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"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 2012 (2012)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2012/280636","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/280636","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Research Article"}],"best_oa_location":{"id":"doi:10.1155/2012/280636","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2012/280636","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/280636.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":[{"id":"https://metadata.un.org/sdg/10","score":0.49000000953674316,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2102364953.pdf","grobid_xml":"https://content.openalex.org/works/W2102364953.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W58974799","https://openalex.org/W78019870","https://openalex.org/W565628694","https://openalex.org/W1624031245","https://openalex.org/W1824086976","https://openalex.org/W1999187156","https://openalex.org/W2011017943","https://openalex.org/W2015052357","https://openalex.org/W2019682662","https://openalex.org/W2051696925","https://openalex.org/W2057566682","https://openalex.org/W2070967830","https://openalex.org/W2080123740","https://openalex.org/W2189560065","https://openalex.org/W4213265382"],"related_works":["https://openalex.org/W2220882927","https://openalex.org/W4297847190","https://openalex.org/W2037801028","https://openalex.org/W3157160645","https://openalex.org/W1498354620","https://openalex.org/W4287639387","https://openalex.org/W4317951131","https://openalex.org/W2724220338","https://openalex.org/W2075802168","https://openalex.org/W1649454875"],"abstract_inverted_index":{"We":[0],"show":[1,34],"that":[2,35,52],"Banach":[3,26],"semigroup":[4,43],"algebras":[5,27,44],"of":[6,24,41,55],"any":[7],"two":[8],"Brandt":[9,42],"semigroups":[10],"over":[11,45],"a":[12],"fixed":[13],"group":[14],"are":[15,48],"Morita":[16,22,60],"equivalence":[17],"with":[18],"respect":[19],"to":[20],"the":[21,36,53],"theory":[23],"self-induced":[25],"introduced":[28],"by":[29],"Gr\u00f8nb\u00e6k.":[30],"As":[31],"applications,":[32],"we":[33],"bounded":[37],"Hochschild":[38],"(co)homology":[39],"groups":[40,47],"amenable":[46],"trivial":[49],"and":[50],"prove":[51],"notion":[54],"approximate":[56],"amenability":[57],"is":[58],"not":[59],"invariant.":[61]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
