In 2008, J. Skowronek‐kazi o´ w extended the study of the clique number ω (G (Zn)) to the
zero‐divisor graph of the ring Zn, but their result was imperfect. In this paper, we reconsider …

Let M be an R-module. We associate an undirected graph Γ (M) to M in which nonzero
elements x and y of M are adjacent provided that xf (y)= 0 or yg (x)= 0 for some nonzero R …

An element a in a ring R is called a strong zero-divisor if, either (a)(b)= 0 or (b)(a)= 0, for
some 0\= b∈ R ((x) is the ideal generated by x∈ R). Let S (R) denote the set of all strong …

Let R be an arbitrary ring and M be a nonzero right R-module. In this paper, we introduce the
set TR (M)={m∈ M| mI= 0, for some nonzero ideal I of R} of strong torsion elements of M and …

Let R be an arbitrary ring and M be a nonzero right R-module. In this paper, we introduce the
set TR (M)={m∈ M| m I= 0, for some nonzero ideal I of R} of strong torsion elements of M and …

We associate a simple undirected graph to a∗-ring R whose vertex set is V (Γ s∗(R))={0≠
a∈ R| r R (a R)≠{0}} and two distinct vertices a and b are adjacent if and only if a R b∗= 0 …