Jordan ring is one example of the non-associative rings. We can construct a Jordan ring
from an associative ring by defining the Jordan product. In this paper, we discuss the …

In this paper, we study modules having only finitely many submodules over any ring which is
not necessarily commutative. We try to understand how such a module decomposes as a …

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 …

We say that a module M satisfies pand-acc provided every submodule with finite uniform
dimension is Noetherian. We investigate rings for which every module satisfies pand-acc …

Let R be a commutative ring with nonzero identity. Our objective is to investigate
representable modules and to examine in particular when submodules of such modules are …

In this note, we introduce abelian modules as a generalization of abelian rings. Let R be an
arbitrary ring with identity. A module M is called abelian if, for any m∈ M and any a∈ R, any …

Commentationes Mathematicae Universitatis Carolinae Page 1 Commentationes
Mathematicae Universitatis Carolinae Ahmed Najim; Mohammed Elhassani Charkani CF-modules …

In this article, we study tensor product rings Q⊗ RP, where QR and RP are R-modules for an
associative ring R, and Rees matrix rings M. We will show that if S is an idempotent ring then …

A ring is called a commutator ring if every element is a sum of additive commutators. In this
note we give examples of such rings. In particular, we show that given any ring R, a right R …

Throughout this note we consider associative rings with identity and unitary modules. For a
module M over a ring R we write MR (resp. aM) to indicate that M is a right (resp. left) R …