We compare three approaches to the notion of conjugacy for semigroups, the first one via
the transitive closure of the uv∼ vu relation, the second one via an action of inverse …

The action of any group on itself by conjugation and the corresponding conjugacy relation
play an important role in group theory. There have been many attempts to find notions of …

The conjugacy relation is an important tool in the study of group theory and now has been
generalized to semigroups in several methods. In particular, the p-conjugacy, o-conjugacy, c …

We study the structure of nilpotent subsemigroups in the semigroup M (n, 𝔽) of all n× n
matrices over a field 𝔽 with respect to the operation of the usual matrix multiplication. We …

There have been several attempts to extend the notion of conjugacy from groups to
monoids. The aim of this paper is study the decidability and independence of conjugacy …

We collect some necessary concepts and principles in the theory of linear algebraic
monoids which apply to further investigation on other topics such as the classification of …

The conjugacy relation plays an important role in group theory and the conjugacy relation of
groups has been generalized to semigroups in various methods by several authors. If a and …

In this paper we describe conjugacy classes of a Renner monoid R with unit group W, the
Weyl group. We show that every element in R is conjugate to an element ue where u∈ W …

In this paper we show that the irreducible representations of a finite inverse semigroup $ S $
over an algebraically closed field $ F $ are in bijection with the conjugacy classes of $ S $ if …

arxiv:1304.7028v1 [math.GR] 25 Apr 2013 Page 1 arxiv:1304.7028v1 [math.GR] 25 Apr 2013
The 1882 Conjugacy Classes of the First Basic Renner Monoid of Type E6 ∗ Zhenheng Li …