A ring R is called a (right) wq-ring if every right ideal not isomorphic to ${R_R} $ is quasi-
injective. The main result proved is the following: Let R be a ring with zero singular ideal …

A ring R is called left k-cyclic if every left R-module is a direct sum of indecomposable
modules which are homomorphic image of R k R. In this paper, we give a characterization of …

ABSTRACT A right ideal I of a ring R is said to be a comparizer right ideal of R if for any right
ideals A, B of R, either A⊆ B or BI⊆ A. A ring R (with 1) is called a right pseudo-chain ring if …

Let R be a ring, M a monoid and ω: M→ End (R) a monoid homomorphism. The skew
monoid ring R* M is a common generalization of polynomial rings, skew polynomial …

In this paper we consider left cyclic modules over a skew polynomial ring R, which are not
injective as a left R-module and give on example of skew polynomial rings which …

Let J (R) denote the Jacobson radical of a ring R. We call a ring R as J-symmetric if for any a,
b, c∈ R, abc= 0 implies bac∈ J (R). It turns out that J-symmetric rings are a common …

We let R be an associative ring with an identity (unless explicitly stated otherwise). We let G
be a finite group of automorphisms of i^. We consider two rings associated with R and G …

L. Levy has characterised a commutative noetherian ring in which every proper
homomorphic image is self-injective to be a Dedekind domain, or a principal ideal ring with …

A q-skew polynomial ring is a “mixed case” skew polynomial ring in which the defining
automorphism and derivation commute up to a scalar multiple. This paper establishes …

A module M is skew-injective if each endomorphism of any submodule of M can be
extended to an endomorphism of M. A module M is called in~ egrally closed if all …