LEFT ZEROID AND RIGHT ZEROID ELEMENTS OF Γ-SEMIRINGS
Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2017, Vol 37, Issue 2
Abstract
In this paper we introduce the notion of a left zeroid and a right zeroid of Γ-semirings. We prove that, a left zeroid of a simple Γ-semiring M is regular if and only if M is a regular Γ-semiring.
Authors and Affiliations
M. Murali Krishna Rao, K. R. Kumar
ON THE CONNECTIVITY OF THE ANNIHILATING-IDEAL GRAPHS
Let R be a commutative ring with identity and A∗(R) the set of nonzero ideals with non-zero annihilators. The annihilating-ideal graph of R is defined as the graph AG(R) with the vertex set A∗(R) and two distinct vertice...
Trace inequalities for positive semidefinite matrices
Certain trace inequalities for positive definite matrices are generalized for positive semidefinite matrices using the notion of the group generalized inverse.
LOCAL COHOMOLOGY MODULES AND RELATIVE COHEN-MACAULAYNESS
Let (R, m) denote a commutative Noetherian local ring and let M be a finite R-module. In this paper, we study relative Cohen-Macaulay rings with respect to a proper ideal a of R and give some results on such rings in rel...
ALL MAXIMAL COMPLETELY REGULAR SUBMONOIDS OF HypG(2)
In this paper we consider mappings σ which map the binary operation symbol f to the term σ(f) which do not necessarily preserve the arity. These mapping are called generalized hypersubstitutions of type τ = (2) and we de...
ON THE SECOND SPECTRUM OF LATTICE MODULES
The second spectrum Specs(M) is the collection of all second elements of M. In this paper, we study the topology on Specs(M), which is a generalization of the Zariski topology on the prime spectrum of lattice modules. Be...