ON CENTRALIZER OF SEMIPRIME INVERSE SEMIRING
Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2016, Vol 36, Issue 1
Abstract
Let S be 2-torsion free semiprime inverse semiring satisfying A2 condition of Bandlet and Petrich [1]. We investigate, when an additive mapping T on S becomes centralizer.
Authors and Affiliations
S. Sara, M. Aslam, M. A. Javed
ENUMERATION OF Γ-GROUPS OF FINITE ORDER
The concept of Γ-semigroups is a generalization of semigroups. In this paper, we consider Γ-groups and prove that every Γ-group is derived from a group then, we give the number of Γ-groups of small order.
COMMUTATIVITY OF PRIME RINGS WITH SYMMETRIC BIDERIVATIONS
The present paper shows some results on the commutativity of R: Let R be a prime ring and for any nonzero ideal I of R, if R admits a biderivation B such that it satisfies any one of the following properties (i) B([x, y]...
The Clifford semiring congruences on an additive regular semiring
A congruence ρ on a semiring S is called a (generalized)Clifford semiring congruence if S/ρ is a (generalized)Clifford semiring. Here we characterize the (generalized)Clifford congruences on a semiring whose additive red...
ON THE LENGTH OF RATIONAL CONTINUED FRACTIONS OVER Fq(X)
Let Fq be a finite field and A(Y ) ∈ Fq(X, Y ). The aim of this paper is to prove that the length of the continued fraction expansion of A(P); P ∈ Fq[X], is bounded.
ZERO-DIVISOR GRAPHS OF REDUCED RICKART ∗-RINGS
For a ring A with an involution ∗, the zero-divisor graph of A, Γ∗ (A), is the graph whose vertices are the nonzero left zero-divisors in A such that distinct vertices x and y are adjacent if and only if xy∗ = 0. In this...