Let R be an arbitrary ring. A nonzero unital right R-module M is called a second module if M
and all its nonzero homomorphic images have the same annihilator in R. It is proved that if R …

This paper is motivated by the results in [6]. We study some properties of strongly irreducible
submodules of a module. In fact, our objective is to investigate strongly irreducible modules …

Let R be a commutative ring with non-zero identity. We define a proper submodule Nof an R-
module M to be quasi-primary if PM Nrad R=):(is a prime ideal of R. In this case we also say …

Let R be a commutative ring with identity (zero-divisors admitted). Various properties of
submodules a multiplication module are considered. In fact, our aim here is to generalize …

Archivum Mathematicum Page 1 Archivum Mathematicum Shahabaddin Ebrahimi Atani
Multiplication modules and related results Archivum Mathematicum, Vol. 40 (2004), No. 4 …

In this paper, we determine the structure of rings that have secondary representation (called
representable rings) and give some characterizations of these rings. Also, we characterize …

Modules which Satisfy the Radical Formula 1 Introduction Page 1 Int. J. Contemp. Math. Sci.,
Vol. 2, 2007, no. 1, 13 - 18 Modules which Satisfy the Radical Formula S. Ebrahimi Atani and F …

Let $ R $ be a commutative Noetherian ring. It is shown that $ R $ is Artinian if and only if
every $ R $-module is good, if and only if every $ R $-module is representable. As a result, it …

Characterization of Secondary Modules over Dedekind Domains | SpringerLink Skip to main
content Advertisement SpringerLink Log in Menu Find a journal Publish with us Search Cart …

On MacCasland Submodules 1 Introduction Page 1 International Mathematical Forum, 2, 2007,
no. 46, 2255 - 2260 On MacCasland Submodules S. Ebrahimi Atani and F. Esmaeili Khalil Saraei …