On k-Noetherian and k-Artinian Semirings
Rings and Algebras
2019-07-16 v1
Abstract
We investigate left k-Noetherian and left k-Artinian semirings. We characterize such semirings using i-injective semimodules. We prove in particular, a partial version of the celebrated Bass-Papp Theorem for semiring. We illustrate our main results by examples and counter examples.
Cite
@article{arxiv.1907.06149,
title = {On k-Noetherian and k-Artinian Semirings},
author = {Jawad Abuhlail and Rangga Ganzar Noegraha},
journal= {arXiv preprint arXiv:1907.06149},
year = {2019}
}