The theory of z-ideals and z°-ideals, especially as pertaining to the ideal theory of C (X), the
ring of continuous functions on a completely regular Hausdorff space X, has been attended …

The aim of this paper is to investigate the interplay between the algebraic properties of a
skew Poincaré–Birkhoff–Witt extesion ring A= σ (R)〈 x 1,…, xn〉 and the graph-theoretic …

Let R be a commutative ring and M an R-module. Let Z (M)={r∈ R| rm= 0 for some nonzero
m∈ M} and T (M)={m∈ M| rm= 0 for some nonzero r∈ R}. M satisfies Property A …

In this paper we study the properties of rAnn (id (R))(the set of right annihilator ideals of R)
as a lattice. We prove that (rAnn (id (R)),⊆) is a Boolean algebra if and only if R is a …

A ring R has the (A)-property (resp., strong (A)-property) if every finitely generated ideal of R
consisting entirely of zero divisors (resp., every finitely generated ideal of R generated by a …

A ring R has right property (A) whenever a finitely generated two-sided ideal of R consisting
entirely of left zero-divisors has a non-zero right annihilator. As the main result of this paper …

The main purpose of this paper is to introduce and investigate a new class of rings lying
properly between the class of 𝒜-rings and the class of 𝒮 𝒜-rings. The new class of rings …

Throughout this paper all rings are commutative with nonzero identity comma and all
modules are considered to be unitary period We wish to study properties of submod hyphen …

We present an answer to a problem raised by Anderson and Chun in [DD Anderson and S.
Chun, Annihilator conditions on modules over commutative rings, J. Algebra Appl. 16 …

In this paper, we continue to study zero-divisor properties of skew polynomial rings R [x; α,
δ], where R is an associative ring equipped with an endomorphism α and an α-derivation δ …