5 research outputs found
R-parts and modules derived from strongly U-regular relations on hypermodules
This paper concerns a new relationship between hypermodules and modules. We generalize the notion of complete parts and -parts by the notion of -parts on hypermodulesand then -closures of hypermodules as a generalization of -closures are defined. In addition,we give the notion of a strongly -regular relation on hypermodules and investigate some properties of it
On the heart of hypermodules
This paper presents some types of hypermodules, associated to an arbitrary hypermodule, studying properties and characterizing their hearts. Also, we establish a few results concerning the sequence of heart, which can be associated to a hypermodule, in connection with subhypermodules generated by a non-empty set, by a union of subhypermodules or by the intersection of subhypermodules. Finally, we study several properties of -hypermodules
Commutative fundamental (m, n)-modules
In this paper, we introduce the concept of fundamental relation θ∗ on an (m, n)-hypermodule M as the smallest equivalence relation such that M/θ∗ is a commutative (m, n)-module, and then some related properties are investigated