Pseudocomplementation and Minimal Prime Ideals in Semirings
Commutative Algebra
2018-04-17 v1 Rings and Algebras
Abstract
In the first section of the present work, we introduce the concept of pseudocomplementation for semirings and show semiring version of some known results in lattice theory. We also introduce semirings with pc-functions and prove some interesting results for minimal prime ideals of such semirings. In the second section, some classical results for minimal prime ideals in ring theory are generalized in the context of semiring theory.
Cite
@article{arxiv.1703.08923,
title = {Pseudocomplementation and Minimal Prime Ideals in Semirings},
author = {Peyman Nasehpour},
journal= {arXiv preprint arXiv:1703.08923},
year = {2018}
}
Comments
12 pages, Dedicated to Professor Carlos Martin-Vide