ABSTRACT A module M is said to be square free if whenever its submodule is isomorphic to
N 2= N⊕ N for some module N, then N= 0. Dually, a module M is said to be d-square free …

In this article, we study the C 4-and D 4-modules in terms of perspective direct summands,
providing new characterizations and results. Endomorphism rings of C 4-modules and …

A module M is called a D4-module if, whenever A and B are submodules of M with M= A⊕ B
and f: A→ B is a homomorphism with Imf a direct summand of B, then Kerf is a direct …

Shahabaddin Ebrahimi Atani, Mehdi Khoramdel, Saboura Dolati Pish Hesari C3-MODULES
Communicated by A. Romanowska 1. Introduction Page 1 DEMONSTRATIO MATHEMATICA …

A right module over a ring is called small dual-ADS, if for each decomposition then and are
mutually small projective. Small dual-ADS modules are the dual analogue of LADS …

Let A be a class of some right R‐modules that is closed under isomorphisms, and let M be a
right R‐module. Then M is called A‐D3 if, whenever N and K are direct summands of M with …

In this paper, by taking the class of all C 3 (or D 3) right R-modules for general envelopes
and covers, we characterize a semisimple artinian ring (or a right perfect ring) via D 3-covers …

In this paper, we consider a direct projective H-supplemented module which is a
generalization of a discrete module (cf.[11, 16]). We prove that any direct projective H …

In this paper, we dualize the concept of {\Sigma}-Rickart modules as {\Sigma}-dual Rickart
modules. An R-module M is said to be {\Sigma}-dual Rickart if the direct sum of arbitrary …

The identification problem of an inclusion is considered in the paper. The inclusion is
unknown subdomain of a given physical region. The available information on the inclusion …