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arXiv · 2301.00875

Classical prime subhypermodules and related classes

M. Anbarloei
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Abstract

In this paper, we extend the notion of prime subhypermodules to n-ary classical prime, n-ary weakly classical prime and n-ary phi-classical prime subhypermodules of an (m,n)-hypermodule over a commutative Krasner (m,n)-hyperring. Many properties and characterizations of them are introduced. Moreover, we investigate the behavior of these structures under hypermodule homomorphisms, quotient hypermodules and cartesian product.

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M. Anbarloei. 2023-01-02. Classical prime subhypermodules and related classes. https://arxiv.org/abs/2301.00875

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