{"title":"Reduced rings and modules arising from Morita contexts","authors":"Qingbing Xu, Yang Liu, M. Munir, Kausar Nasreen","doi":"10.12988/ija.2022.91725","DOIUrl":null,"url":null,"abstract":"In this paper, we study the reduced rings arising from Morita context M ( A, B ) = ( A, M, N, B, ϕ, ψ ). Necessary and sufficient conditions are investigated for the Morita ring R to be reduced. In particular, the reduced modules over Morita context rings are characterized.","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Algebra and Computation","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.12988/ija.2022.91725","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we study the reduced rings arising from Morita context M ( A, B ) = ( A, M, N, B, ϕ, ψ ). Necessary and sufficient conditions are investigated for the Morita ring R to be reduced. In particular, the reduced modules over Morita context rings are characterized.
期刊介绍：
The International Journal of Algebra and Computation publishes high quality original research papers in combinatorial, algorithmic and computational aspects of algebra (including combinatorial and geometric group theory and semigroup theory, algorithmic aspects of universal algebra, computational and algorithmic commutative algebra, probabilistic models related to algebraic structures, random algebraic structures), and gives a preference to papers in the areas of mathematics represented by the editorial board.
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