Notes on additively divisible commutative semirings
Commutative Algebra
2014-01-14 v1
Abstract
Commutative semirings with divisible additive semigroup are studied. We show that an additively divisible commutative semiring is idempotent, provided that it is finitely generated and torsion. In case that a one-generated additively divisible semiring posseses no unit, it must contain an ideal of idempotent elements. We also present a series of open questions about finitely generated commutative semirings and their equivalent versions.
Cite
@article{arxiv.1401.2836,
title = {Notes on additively divisible commutative semirings},
author = {Tomáš Kepka and Miroslav Korbelář},
journal= {arXiv preprint arXiv:1401.2836},
year = {2014}
}
Comments
8 pages