Characterizations of intra-regular semirings by (m,n)-interior ideals
Abstract
We give the concept of an (m,n)-interior ideal of a semiring, and we characterize an intra-regular semiring by (m,n)-interior ideals. In addition, we show that every (m,n)-interior ideal and both m-left ideal and n-right ideal coincide in an intra-regular semiring.
Copyright © 2020 Warud Nakkhasen, Denpong Pongpipat, Bundit Pibaljommee. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
W. Nakkhasen, D. Pongpipat, B. Pibaljommee, Characterizations of intra-regular semirings by (m,n)-interior ideals, J. Math. Comput. Sci. 11 (2021), 1–12. https://doi.org/10.28919/jmcs/5082
BibTeX
@article{Nakkhasen2021,
author = {Nakkhasen, Warud and Pongpipat, Denpong and Pibaljommee, Bundit},
title = {Characterizations of intra-regular semirings by (m,n)-interior ideals},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {1--12},
doi = {10.28919/jmcs/5082}
}