{"title":"K-代数上K为交换环的Munn矩阵代数的表示","authors":"V. Bondarenko","doi":"10.12958/adm2084","DOIUrl":null,"url":null,"abstract":"We consider the Munn matrix algebras over anassociative unitalK-algebraA, whereKis a commutative (unital)ring andAas aK-module is free (of őnite or inőnite rank), and,for each (not necessarily őnitely deőned) presentation ofA, we givepresentations of the Munn matrix algebras over it.","PeriodicalId":44176,"journal":{"name":"Algebra & Discrete Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Presentations of Munn matrix algebras over K-algebras with K being a commutative ring\",\"authors\":\"V. Bondarenko\",\"doi\":\"10.12958/adm2084\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider the Munn matrix algebras over anassociative unitalK-algebraA, whereKis a commutative (unital)ring andAas aK-module is free (of őnite or inőnite rank), and,for each (not necessarily őnitely deőned) presentation ofA, we givepresentations of the Munn matrix algebras over it.\",\"PeriodicalId\":44176,\"journal\":{\"name\":\"Algebra & Discrete Mathematics\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Algebra & Discrete Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12958/adm2084\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Algebra & Discrete Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12958/adm2084","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Presentations of Munn matrix algebras over K-algebras with K being a commutative ring
We consider the Munn matrix algebras over anassociative unitalK-algebraA, whereKis a commutative (unital)ring andAas aK-module is free (of őnite or inőnite rank), and,for each (not necessarily őnitely deőned) presentation ofA, we givepresentations of the Munn matrix algebras over it.