Classical prime subhypermodules and related classes
Commutative Algebra
2023-01-04 v1
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.
Keywords
Cite
@article{arxiv.2301.00875,
title = {Classical prime subhypermodules and related classes},
author = {M. Anbarloei},
journal= {arXiv preprint arXiv:2301.00875},
year = {2023}
}