PSEUDO-BCH-ALGEBRAS
Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2015, Vol 35, Issue 1
Abstract
The notion of pseudo-BCH-algebras is introduced, and some of their properties are investigated. Conditions for a pseudo-BCH-algebra to be a pseudo-BCI-algebra are given. Ideals and minimal elements in pseudo-BCH algebras are considered.
Authors and Affiliations
Andrzej Walendziak
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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.
All Regular-Solid Varieties of Idempotent Semirings
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In this paper, we introduced the concept of ordered Γ-AG-groupoids, Γ- ideals and some classes in ordered Γ-AG-groupoids. We have shown that every Γ-ideal in an ordered Γ-AG∗∗-groupoid S is Γ-prime if and only if it is Γ...
Generalized derivations in prime rings and Banach algebras
Let R be a prime ring with extended centroid C, F a generalized derivation of R and n ≥ 1, m ≥ 1 fixed integers. In this paper we study the situations: 1. (F(x ◦ y))m = (x ◦ y) n for all x, y ∈ I, where I is a nonzero id...
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.