T-Fuzzy Submodules of RxM

Year 2018, Issue: 22, 92 - 102, 26.03.2018

Rasul Rasuli

Abstract

In this paper, we introduce the concept of T-fuzzy submodule of RxM and give new results on this subject. Next we study the concept of the extension of T-fuzzy submodule of RxM and prove some results on these. Also we investigate T-fuzzy submodule of RxM under homomorphisms or R-modules.

Keywords

Theory of modules, extensions, homomorphism, fuzzy set theory, norms

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