The structure of certain unique classes of seminearrings

Year 2024, Volume: 35 Issue: 35, 139 - 148, 09.01.2024

G. Manikandan Perumal Ramachandran P. Madhusoodhanan

https://doi.org/10.24330/ieja.1402798

Abstract

In this paper, we introduce the classes of $\alpha$ and strictly-$\alpha$ seminearrings and establishes some of their properties, mostly in relation to the possession of a mate
function. Then we get the criterion for an $\alpha$-seminearring to become a strictly-$\alpha$ seminearring. We also obtain a complete characterisations of $\alpha$ and strictly-$\alpha$ seminearrings and proved certain results for $\alpha$ and strictly-$\alpha$ seminearrings via certain unique classes of seminearrings.

Keywords

$\alpha$-seminearring, strictly-$\alpha$ seminearring, distributively generated seminearring, mate function, ideal

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