R-parts and modules derived from strongly U-regular relations on hypermodules
Abstract
This paper concerns a new relationship between hypermodules and modules. We generalize the notion of complete parts and $\theta$-parts by the notion of $\Re$-parts on hypermodulesand then $\Re$-closures of hypermodules as a generalization of $\theta$-closures are defined. In addition,
we give the notion of a strongly $\mathcal{U}$-regular relation on hypermodules and investigate some properties of it.
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