Simplices in the Endomorphism Semiring of a Finite Chain
Rings and Algebras
2015-06-18 v1
Abstract
We establish new results concerning endomorphisms of a finite chain if the cardinality of the image of such endomorphism is no more than some fixed number. The semiring of all such endomorphisms can be seen as a simplex whose vertices are the constant endomorphisms. We explore the properties of these simplices.
Cite
@article{arxiv.1311.5548,
title = {Simplices in the Endomorphism Semiring of a Finite Chain},
author = {Ivan Trendafilov},
journal= {arXiv preprint arXiv:1311.5548},
year = {2015}
}
Comments
16 pages. arXiv admin note: substantial text overlap with arXiv:1304.7824