@article {10.3844/jmssp.2011.78.80,
article_type = {journal},
title = {Remark on Bi-Ideals and Quasi-Ideals of Variants of Regular Rings},
author = {Baupradist, Samruam and Chinram, Ronnason},
volume = {7},
year = {2011},
month = {Mar},
pages = {78-80},
doi = {10.3844/jmssp.2011.78.80},
url = {https://thescipub.com/abstract/jmssp.2011.78.80},
abstract = {Problem statement: Every quasi-ideal of a ring is a bi-ideal. In general, a bi-ideal of a ring
need not be a quasi-ideal. Every bi-ideal of regular rings is a quasi-ideal, so bi-ideals and quasi-ideals
of regular rings coincide. It is known that variants of a regular ring need not be regular. The aim of this
study is to study bi-ideals and quasi-ideals of variants of regular rings. Approach: The technique of
the proof of main theorem use the properties of regular rings and bi-ideals. Results: It shows that every
bi-ideal of variants of regular rings is a quasi-ideal. Conclusion: Although the variant of regular rings
need not be regular but every bi-ideal of variants of regular rings is a quasi-ideal.},
journal = {Journal of Mathematics and Statistics},
publisher = {Science Publications}
}