每个 Sinite 理想都是投影的交换环

IF 0.6 3区 数学 Q3 MATHEMATICS Communications in Algebra Pub Date : 2024-09-17 DOI:10.1080/00927872.2024.2398623
Mohamed Chhiti, Hwankoo Kim, Salah Eddine Mahdou
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引用次数: 0

摘要

在本文中,我们介绍并探讨了一类被称为 SFP 环的环,其定义是它们的每个 Sinite 理想都是投影性的。我们证明了所有遗传环都是...
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Commutative rings in which every S-finite ideal is projective
In this paper, we introduce and explore a category of rings termed SFP-rings, defined by the property that each S-finite ideal of them is projective. We demonstrate that all hereditary rings inhere...
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来源期刊
CiteScore
1.30
自引率
14.30%
发文量
327
审稿时长
9 months
期刊介绍: Communications in Algebra presents high quality papers of original research in the field of algebra. Articles from related research areas that have a significant bearing on algebra might also be published. Topics Covered Include: -Commutative Algebra -Ring Theory -Module Theory -Non-associative Algebra including Lie algebras, Jordan algebras -Group Theory -Algebraic geometry
期刊最新文献
The role of semicentral idempotents in triangular matrix rings Commutative rings in which every S-finite ideal is projective Right ideal decompositions of nearrings with faithful 2-step modules Hopf bracoids Quaternionic p-adic continued fractions
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