Ideals of quasi-absorbing elements in semigroups
Group Theory
2023-12-18 v1
Abstract
Motivated by situations in which the removal of a zero (a.k.a., an absorbing element) from a semigroup yields a subsemigroup with another zero, sets of quasi-zeros (a.k.a., quasi-absorbing elements) are introduced as well as primitive elements, minimal ideals and simple semigroups all with respect to a given ideal. An application to set optimization is discussed.
Cite
@article{arxiv.2312.09914,
title = {Ideals of quasi-absorbing elements in semigroups},
author = {Rico Hager and Andreas H Hamel and Frank Heyde},
journal= {arXiv preprint arXiv:2312.09914},
year = {2023}
}
Comments
17 pages