G. Mani̇kandan, Perumal Ramachandran, P. Madhusoodhanan
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The structure of certain unique classes of seminearrings
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.
期刊介绍:
The International Electronic Journal of Algebra is published twice a year. IEJA is reviewed by Mathematical Reviews, MathSciNet, Zentralblatt MATH, Current Mathematical Publications. IEJA seeks previously unpublished papers that contain: Module theory Ring theory Group theory Algebras Comodules Corings Coalgebras Representation theory Number theory.