M-Hazy Module and Its Homomorphism Theorem

Donghua Huo, Hongyu Liu and Zafar Ullah

Journal of Mathematics, 2023, vol. 2023, 1-9

Abstract: Based on a completely distributive lattice M, we propose a new fuzzification approach to a module, which leads to the concept of an M-hazy module. Different from the traditional fuzzification approach that defines a fuzzy algebra as a fuzzy subset of a classical algebra, we introduce an M-hazy module by fuzzifications of algebraic operations. Then, we investigate the fundamental properties of M-hazy modules and M-hazy submodules. In particular, we present the M-hazy module homomorphism theorem.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:3581113

DOI: 10.1155/2023/3581113

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