18 citations · 18 across the 3 of their papers we have counts for
5 papers
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…
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…
Additive unit structure of endomorphism rings and invariance of modules
Pedro A. Guil Asensio, T. C. Quynh, Ashish K. Srivastava
We use the type theory for rings of operators due to Kaplansky to describe the structure of modules that are invariant under automorphisms of their injective envelopes. Also, we hi…
On classes of C3 and D3 modules
Abyzov Adel Nailevich, Truong Cong Quynh, Tran Hoai Ngoc Nhan
The aim of this paper is to study the notions of -C3 and -D3 modules for some class of right modules. Several characterizations of these mod…
Rings with each right ideal automorphism-invariant
M. Tamer Koşan, Truong Cong Quynh, Ashish K. Srivastava
In this paper, we study rings having the property that every right ideal is automorphism-invariant. Such rings are called right -rings. It is shown that (1) a right -ring is…