Endomorphisms and automorphisms of certain semigroups
Abstract
Let V be an arbitrary vector space over C and let 0≠µ∈V∗ be a linear functional on V. We equip V with a multiplication converting it into a semigroup, denoted by Vµ. In this note the semigroup structure of Vµ are investigated and in particular, the endomorphisms and automorphisms of Vµ are characterized.
- Published
- 5 December 2014
- Volume
- 2014 (2014)
- License
- CC BY 3.0
Copyright © 2014 Ali Reza Khoddami, Mehri Hasani. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
A. R. Khoddami, M. Hasani, Endomorphisms and automorphisms of certain semigroups, J. Semigroup Theory Appl. 2014 (2014), 6.
BibTeX
@article{Khoddami2014,
author = {Khoddami, Ali Reza and Hasani, Mehri},
title = {Endomorphisms and automorphisms of certain semigroups},
journal = {J. Semigroup Theory Appl.},
volume = {2014},
year = {2014},
pages = {6},
doi = {}
}