Some finite directly indecomposable non-monogenic entropic quasigroups with quasi-identity

Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2014, Vol 34, Issue 1

Abstract

In this paper we show that there exists an infinite family of pairwise non-isomorphic entropic quasigroups with quasi-identity which are directly indecomposable and they are two-generated. Keywords: quasigroups, entropic quasigroups, abelian groups, involution. 2010 Mathematics Subject Classification: 20N05.

Authors and Affiliations

Joanna Kaleta, Grzegorz Bińczak

Keywords

Related Articles

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 intersection graphs of ideals of direct product of rings

In this paper we first calculate the number of vertices and edges of the intersection graph of ideals of direct product of rings and fields. Then we study Eulerianity and Hamiltonicity in the intersection graph of ideals...

A NOTE ON IDEAL BASED ZERO-DIVISOR GRAPH OF A COMMUTATIVE RING

In this paper, we consider the ideal based zero divisor graph ΓI (R) of a commutative ring R. We discuss some graph theoretical properties of ΓI (R) in relation with zero divisor graph. We also relate certain parameters...

BI-INTERIOR IDEALS OF Γ-SEMIRINGS

In this paper, as a further generalization of ideals, we introduce the notion of bi-interior ideal as a generalization of quasi ideal, bi-ideal and interior ideal of Γ-semiring and study the properties of bi-interior ide...

Relative determinant of a bilinear module

The aim of the paper is to generalize the (ultra-classical) notion of the determinant of a bilinear form to the class of bilinear forms on projective modules without assuming that the determinant bundle of the module is...

Download PDF file
  • EP ID EP165307
  • DOI -
  • Views 28
  • Downloads 0

How To Cite

Joanna Kaleta, Grzegorz Bińczak (2014). Some finite directly indecomposable non-monogenic entropic quasigroups with quasi-identity. Discussiones Mathematicae - General Algebra and Applications, 34(1), -. https://europub.co.uk/articles/-A-165307