Connections of (m, n)-bi-quasi Hyperideals in Semihyperrings

Bundit Pibaljommee, Warud Nakkhasen

Abstract


We introduce the concept of left (resp. right) (m,n)-bi-quasi hyperideals of semihyperrings as a generalization of n-bi-hyperideals, where m andn are positive integers. Then, we characterize regular semihyperrings using their left (resp. right) (m, n)-bi-quasi hyperideals. Moreover, we study the connections between left (resp. right) (m,n)-bi-quasi hyperideals and some many types of hyperideals in semihyperrings.


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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|