On Infinite direct products of Rings modulo their direct sums

E Momtahan - Journal of the Iranian Mathematical Society, 2024 - jims.ims.ir
In this article, inspiring with a result due to OAS Karamzadeh, we examine the $\prod_ {i\in I}
R_i/\oplus_ {i\in I} R_i $, where $\{R_i\} _ {i\in I} $ is an infinite family of rings. We observe …

[引用][C] Abelian Groups Whose Endomorphism Rings are V-Rings

A Amini, B Amini, E Momtahan - Journal of Algebra and its …, 2024 - World Scientific
We study Abelian groups whose endomorphism rings are V-rings. Let G be a non-reduced
Abelian group, We prove that End (G) is a V-ring on either side if and only if G= B⊕ Qn …