Throughout this paper, all rings R are associative with identity and all modules are unitary
right R-module. The notations N≤ e M and N≤⊕ M mean that N is an essential submodule …

S-Mono form Modules Page 1 IOSR Journal of Mathematics (IOSR-JM) e-ISSN: 2278-5728,
p-ISSN: 2319-765X. Volume 10, Issue 6 Ver. II (Nov - Dec. 2014), PP 26-31 www.iosrjournals.org …

In this paper, we study the notions (strongly) soc-injective,(strongly) simple-injective and
(strongly) mininjective modules in σ [M]. For any module N in σ [M], N is strongly mininjective …

In this paper, we introduce a new concept named St-polyform modules, and show that the
class of Stpolyform modules is contained properly in the well-known classes; polyform …

A ring R is called a left (right) SF-ring if all simple left (right) R-modules are flat. This concept
was introduced by VS Ramamurthi [a]. It is still an open question whether or not a left (or two …

Let R be a ring, na fixed non-negative integer and ℱℐ n (ℱ n) the class of all left (right) R-
modules of FP-injective (flat) dimension at most n. A left R-module M (resp., right R-module …

Let R be a ring and M a left R-module. M which satisfies DCC on essential submodules is
GCH, and M which satisfies ACC on small submodules is WH. If M [X] is GCH R [X]-module …

Let R be an arbitrary ring with identity and M a right R-module. In this paper, we introduce a
class of modules which is an analogous of δ-supplemented modules defined by Kosan. The …

We define prime uniserial modules as a generalization of uniserial modules. We say that an
R-module M is prime uniserial (℘-uniserial) if its prime submodules are linearly ordered by …