Let R be a commutative ring and M an R-module. In this article, we introduce the concept of
S-2-absorbing submodule. Suppose that S⊆ R is a multiplicatively closed subset of R. A …

A ring is quasi-Baer (respectively, right pq-Baer) in case the right annihilator of every
(respectively, principal right) ideal is generated by an idempotent, as a right ideal. A ring R is …

Let α be an automorphism of a ring R. We study the skew Armendariz of Laurent series type
rings (α-LA rings), as a generalization of the standard Armendariz condition from …

Let R be a ring,(S,≤) a strictly ordered monoid and ω: S→ End (R) a monoid
homomorphism. The skew generalized power series ring R [[S, ω]] is a common …

We study the skew inverse Laurent-serieswise Armendariz (or simply, SIL-Armendariz)
condition on R, a generalization of the standard Armendariz condition from polynomials to …

Let R be an arbitrary ring equipped with an automorphism α and an α-derivation δ. In this
paper, we study on the relationship between the piecewise prime property of a ring R and …

Let $ alpha $ be an endomorphism and $ delta $ an $ alpha $-derivationof a ring $ R $. In
this paper we study the relationship between an $ R $-module $ M_R $ and the general …

A module MR is called principally quasi-Baer (or simply pq-Baer) if the annihilator of every
cyclic submodule of MR is generated by an idempotent, as a right ideal. Let α be an …

Let R be a ring with a derivation δ and R ((x-1; δ)) denote the pseudo-differential operator
ring over R. We study the relations between the set of annihilators in R and the set of …

Abstract Let (S, ≤)(S,≤) be a strictly totally ordered monoid and R an (S, ω)(S, ω)-weakly
rigid ring, where ω: S → End (R) ω: S→ E nd (R) is a monoid homomorphism. In this paper …