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Linkage property under the amalgamated construction
Communications in Algebra ( IF 0.6 ) Pub Date : 2021-04-13 , DOI: 10.1080/00927872.2021.1905823
Y. Azimi 1, 2
Affiliation  

Abstract

Let R and S be commutative rings with identity, f:RS a ring homomorphism and J an ideal of S. Then, the subring RfJ:={(a,f(a)+j)|aR and jJ} of R × S is called the amalgamation of R with S along J with respect to f. In this article, we investigate when two extended ideals in RfJ of R are linked.



中文翻译:

合并建设下的联动财产

摘要

RS是具有身份的交换环,F电阻一个环同态,JS的理想。然后,子环电阻FJ={(一种,F(一种)+j)|一种电阻jJ}- [R  × 小号被称为的合并- [R小号沿Ĵ相对于˚F。在本文中,我们研究了当两个扩展理想在电阻FJ[R被连接。

更新日期:2021-04-13
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