Conjugation in Semigroups

Conjugacy in Semigroups

The action of any group on itself by conjugation and the corresponding conjugacy relation play an important role in group theory. There have been several attempts to extend the notion of conjugacy to semigroups. In this paper we present a new definition of conjugacy, which can be applied to an arbitrary semigroup, including semigroups with zero. We characterize this conjugacy in various semigro...

On conjugation in some transformation and Brauer-type semigroups

We give, in terms of (generalized) cyclic types, a criterion for two elements of Tn, PT n, IS(N), Bn, PBn and Cn to be conjugate with respect to the conjugation defined as the transitive closure of the xy ∼ yx relation.

On the Characterization of a Riemann Surface by Its Semigroup of Endomorphisms

Suppose Dl and D2 be Riemann surfaces which have bounded nonconstant holomorphic functions. Denote by E ( D i ) , i = 1 , 2 , the semigroups of all holomorphic endomorphisms. If $ : E ( D 1 ) + E(D2) is an isomorphism of semigroups then there exists a conformal or anticonformal isomorphism r/l: Dl 3 D2 such that $ is the conjugation by r/l . Also the semigroup of injective endomorphisms as well...

Decidability and Tameness in the Theory of Finite Semigroups

Ordered semigroups characterized by their intuitionistic fuzzy bi-ideals

Fuzzy bi-ideals play an important role in the study of ordered semigroupstructures. The purpose of this paper is to initiate and study theintiuitionistic fuzzy bi-ideals in ordered semigroups and investigate thebasic theorem of intuitionistic fuzzy bi-ideals. To provide thecharacterizations of regular ordered semigroups in terms of intuitionisticfuzzy bi-ideals and to discuss the relationships ...