2 citations · 2 across the 5 of their papers we have counts for
5 papers
Rings with Clean-Like Properties: Endomorphism, Matrix and Structural Theorems
Adel N. Abyzov, Andrey R. Chekhlov, Peter V. Danchev +1
We investigate three clean-like properties for arbitrary rings, for endomorphism rings of abelian groups and for matrix rings over finite fields. Specifically, we study and establi…
Rings close to periodic with applications to matrix, endomorphism and group rings
Adel N. Abyzov, Ruhollah Barati, Peter V. Danchev
We examine those matrix rings whose entries lie in periodic rings equipped with some additional properties. Specifically, we prove that the famous Diesl's question whether or not $…
Rings whose ideals are close to automorphism-invariant
Adel Abyzov, Truong Cong Quynh, Askar Tuganbaev
We consider rings whose one-sided ideals are close to automorphism-invariant modules. We study rings in which every (finitely generated) right ideal is automorphism invariant and r…
Rings and finite fields whose elements are sums or differences of tripotents and potents
Adel N. Abyzov, Stephen D. Cohen, Peter V. Danchev +1
We significantly strengthen results on the structure of matrix rings over finite fields and apply them to describe the structure of the so-called weakly -torsion clean rings. Sp…
Modules close to SSP- and SIP-modules
Abyzov Adel, Tran Hoai Ngoc Nhan, Truong Cong Quynh
In this paper, we investigate some properties of SIP, SSP and CS-Rickart modules. We give equivalent conditions for SIP and SSP modules; establish connections between the class of…