TY  - JOUR
AU  - Baupradist, Samruam 
AU  - Chinram, Ronnason 
PY  - 2011
TI  - Remark on Bi-Ideals and Quasi-Ideals of Variants of Regular Rings
JF  - Journal of Mathematics and Statistics
VL  - 7
IS  - 1
DO  - 10.3844/jmssp.2011.78.80
UR  - https://thescipub.com/abstract/jmssp.2011.78.80
AB  - 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.