Geodesic
On characterization of minimal $k$-bi-ideals in $k$-regular and completely $k$-regular semirings
Novi Sad Journal of Mathematics, Tome 49 (2019) no. 1.

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In this paper, we study $k$-regular and completely $k$-regular semirings. We characterize the minimal $k$-bi-ideals in $k$-regular semirings via principal $k$-bi-ideals and also in completely $k$-regular semirings via $k$-bi-ideals generated by $k$-idempotent elements. Finally we characterize the completely $k$-regular semirings by $k$-bi-ideals generated via $k$-idempotents.
Publié le :
DOI : 10.30755/NSJOM.06290
Classification : 16Y60
Keywords: $k$-regular semiring, completely $k$-regular semiring, $k$-bi-ideal, $k$-idempotent, $k$-bi-simple semiring 
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     author = {Kalyan Hansda and Tapas Kumar Mondal},
     title = {On characterization of minimal $k$-bi-ideals in
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Kalyan Hansda; Tapas Kumar Mondal. On characterization of minimal $k$-bi-ideals in
$k$-regular and completely $k$-regular semirings. Novi Sad Journal of Mathematics, Tome 49 (2019) no. 1. doi : 10.30755/NSJOM.06290. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.06290/

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