Automorphism-extendable modules Page 1 Discrete Math. Appl. 2015; 25 (5):305–309 Askar
A. Tuganbaev Automorphism-extendable modules Abstract: We study modules, in which all …

A ring A is a right automorphism-invariant right non-singular ring if and only if A= S× T,
where S a right self-injective regular ring and T is a strongly regular ring which contains all …

Quasi-principally injective modules were studied in [12]. In this note we introduce the
concept dual to quasi-principally injective modules. It is proved that. these modules are …

In this paper, we investigate polyform modules and introduce the notion of relatively
polyform modules over a ring R. Some new characterizations and properties of polyform …

Automorphism-Invariant Semi-Artinian Modules AA Tuganbaev1 National Research University
”MPEI” e-mail: tuganbaev@gmail.co Page 1 Automorphism-Invariant Semi-Artinian Modules AA …

Let be an endomorphism of an arbitrary ring R with identity and let M be a right R-module.
We introduce the notion of-symmetric modules as a generalization of-reduced modules. A …

M. Harada defined an almost projective module in [8] and showed that semisimple rings,
serial rings, QF-rings and H-rings are well-characterized by the property of an almost …

The notion of simple-direct-injective modules which are a generalization of injective
modules unifies $ C2 $ and $ C3 $-modules. In the present paper, we introduce the notion of …