The Endomorphisms of a Finite Chain form a Rees congruence semigroup (1998)
by
Timothy Lavers
,
Andrew Solomon
| Venue: | Semigroup Forum |
| Citations: | 2 - 1 self |
BibTeX
@ARTICLE{Lavers98theendomorphisms,
author = {Timothy Lavers and Andrew Solomon},
title = {The Endomorphisms of a Finite Chain form a Rees congruence semigroup},
journal = {Semigroup Forum},
year = {1998},
volume = {59}
}
Bookmark
 |
 |
 |
 |
 |
 |
OpenURL
Abstract
A Rees congruence semigroup is one for which every non-identity congruence is a Rees congruence. We show that the widely studied semigroup of endomorphisms of a finite chain is a Rees congruence semigroup.
Citations
| 171 | An Introduction to Semigroup Theory - Howie - 1976 |
| 4 | Pseudovarieties generated by transformation semigroups, in Semigroups with Applications, including Semigroup - Higgins - 1999 |
| 3 | Generating relations of an endomorphism semigroup of a finite linearly ordered set - Aizenstat - 1962 |
| 3 | The congruence extension property for algebraic semigroups, Semigroup Forum - Garcia - 1991 |
| 1 | The structure of commutative ideal semigroups, Semigroup Forum 50 - Aucoin - 1995 |
