Let S be a ∗-algebra containing the unity and a nontrivial projection. In the present paper, we showthat under certain restrictions if a map Ψ : S → S satisfies Ψ(L ⋄ N • D) = Ψ(L) ⋄ N • D + L ⋄Ψ(N) • D + L ⋄ N • Ψ(D) for ...

Let I be an ideal of a commutative Noetherian ring R. It is shown that the R-modules Hi I (M) are I-cominimax, for all finitely generated R-modules M and all i ∈ N0, if the R-modules Hi I (R) are I-cofinite with dimension ...

In this article, we study skew monoid rings in which the monoid used in their structure is a quotient of a free monoid. We study annihilator conditions of them and describe conditions for transferring some properties from ...

In this paper, we apply a rough soft set to a spe-cial algebraic hyperstructure, and give the concept of a rough soft semihypergroup. We propose the notion of lower and upper approximations concerning a special semihypergroup ...

Let R be a commutative ring with identity. The annihilator graph AG (R) is a simple graph with vertex set as the set of all non-zero zero-divisors of R, and two distinct vertices a and b are adjacent if and only if annR ...

Some Hilbert $C^*$-module versions of H$\ddot{o}$lder-McCarthy and H$\ddot{o}$lder type inequalities and their complementary on a Hilbert $C^*$-module are obtained by Seo \cite{seo-2014}. The purpose of this paper is to ...

Let $M(X, \mathcal{A}, \mu)$ be the ring of real-valued measurable functions on a measure space $(X, \mathcal{A}, \mu)$. In this paper, we show that the maximal ideals of $M(X, \mathcal{A}, \mu)$ are associated with the ...

In this paper we will extend some results on the commutativity of quotient rings proved in [1] and [11]. However, we will consider endomorphisms instead of derivations and generalized derivations, which is sufficient to ...

We shall study the χ-module Connes amenability of a semigroup algebra l^1(S),where χ is a bounded module homomorphism from l^1(S) to l^1(S) that is w^∗-continuous and S is an inverse weakly cancellative semigroup with ...

Let $R$ be a commutative Noetherian ring and $\mathfrak{a}$ be an ideal of $R$. Suppose $M$ is a finitely generated $R$-module and $N$ is an Artinian $R$-module. We define the concept of filter coregular sequence to determine ...

In this paper, we present and examine the characteristics of (f, g)-derivations for a residuated lattice. Some relationships between (f, g)-derivationand isotone, contractive and ideal (f, g)-derivations are given. The set ...

The concept of actions of a BE-algebra on its subalgebra is introduced and certain properties of these actions are derived. The notion of cut-homomorphisms is introduced in BE-algebras and proved that the class of all ...