ScholarLens Back to search
1994•Journal of the Australian Mathematical Society Series A Pure Mathematics and StatisticsOpen access

Injective endomorphisms of 𝒢x-normal semigroups: finite defects

Inessa Levi

Open full text 1 citations

Abstract

Abstract A semigroup of transformations of an infinite set X is called 𝒢x-normal if S is invariant under conjugations by permutations of X. In this paper we describe injective endomorphisms of 𝒢x-normal semigroups of total one-to-one transformations f such that the range of f has a finite non-empty complement in X.

Open-access reader

About this research paper

What this paper is about

Abstract A semigroup of transformations of an infinite set X is called 𝒢x-normal if S is invariant under conjugations by permutations of X. In this paper we describe injective endomorphisms of 𝒢x-normal semigroups of total one-to-one transformations f such that the range of f has a finite non-empty complement in X.

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Abstract A semigroup of transformations of an infinite set X is called 𝒢x-normal if S is invariant under conjugations by permutations of X. In this paper we describe injective endomorphisms of 𝒢x-normal semigroups of total one-to-one transformations f such that the range of f has a finite non-empty complement in X.

Key concepts: Endomorphism, Injective function, Mathematics, Semigroup, Complement (music), Invariant (physics), Pure mathematics, Special classes of semigroups

Related papers

Related paper 1Related paper 2
Back to paper searchBrowse research topicsOriginal source
Injective endomorphisms of 𝒢x-normal semigroups: finite defects — Research Paper | ScholarLens