We examine those matrix rings whose entries lie in periodic rings equipped with some
additional properties. Specifically, we prove that the famous Diesl's question whether or not …

For a skew PBW extension over a right duo compatible ring, we characterize several kinds of
their elements such as units, idempotent, von Neumann regular, $\pi $-regular and the clean …

Characterizations of Morita context rings satisfying various additional ring properties,
including reflexive, semiprime, prime, NI, weakly 2-primal and 2-primal, are given. The …

Let R be an associative unital ring with an endomorphism α and α-derivation δ. Some types
of ring elements such as the units and the idempotents play distinguished roles in …

The classes of semicommutative, PS I, 2-primal, weakly-2-primal, NI, NR and Dedekind-finite
rings form a strictly increasing chain of classes of rings. Examples have been provided by …

The term a ring means an associative ring with identity, and a general ring means an
associative ring with or without identity. But every definition for a ring can be applicable to a …

A ring $ R $ is said to be NJ if $ J (R)= N (R) $. This paper mainly studies the relationship
between NJ rings and related rings, and investigates the Dorroh extension, the Nagata …

Let $ R $ be a reversible ring which is $\alpha $-compatible for an endomorphism $\alpha $
of $ R $ and $ f (X)= a_0+ a_1X+\cdots+ a_nX^ n $ be a nonzero skew polynomial in $ R …

The reversible property of rings was introduced by Cohn and has important generalizations
in noncommutative ring theory. In this paper, reversibility of rings is investigated in relation …

We investigate and characterize several kinds of elements such as units, idempotents, von
Neumann regular, $\pi $-regular and clean elements for skew PBW extensions over weak …