(Generalized) filter properties of the amalgamated algebra

IF 0.5 Q3 MATHEMATICS

Archivum Mathematicum Pub Date : 2022-01-01 DOI:10.5817/am2022-3-133

Y. Azimi

引用次数: 0

Abstract

. Let R and S be commutative rings with unity, f : R → S a ring homomorphism and J an ideal of S . Then the subring R ./ f J := { ( a,f ( a ) + j ) | a ∈ R and j ∈ J } of R × S is called the amalgamation of R with S along J with respect to f . In this paper, we determine when R ./ f J is a (generalized) filter ring.

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合并代数的(广义)滤波性质

。设R和S是具有单位的交换环，f: R→S是环同态，J是S的理想。则R × S的子式R ./ f J:= {(a,f (a) + J) | a∈R, J∈J}称为R与S沿J对f的合并。在本文中，我们确定了R ./ f J是一个(广义)滤波环。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Archivum Mathematicum MATHEMATICS-

CiteScore

0.70

自引率

16.70%

发文量

审稿时长

35 weeks

期刊介绍： Archivum Mathematicum is a mathematical journal which publishes exclusively scientific mathematical papers. The journal, founded in 1965, is published by the Department of Mathematics and Statistics of the Faculty of Science of Masaryk University. A review of each published paper appears in Mathematical Reviews and also in Zentralblatt für Mathematik. The journal is indexed by Scopus.