The structure of certain unique classes of seminearrings

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International Electronic Journal of Algebra
Volume:35 Issue:35
The structure of certain unique classes of seminearrings

The structure of certain unique classes of seminearrings

Authors : G Manikandan, Perumal Ramachandran, P Madhusoodhanan

Pages : 139-148

Doi:10.24330/ieja.1402798

View : 69 | Download : 67

Publication Date : 2024-01-09

Article Type : Research Paper

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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