Document Type : Research Paper

Author

University of Anbar- College of Education for Pure Sciences

Abstract

A module M is a ⨁-Supplemented if M=⨁Ni such that Ni is a direct summand of M. In this paper we introduce the notion of Fuzzy ⨁-Supplemented Module (Fuz-⨁-S-Mod) as a generalization of ⨁-supplemented module. We investigate several characterizations and properties of this concept. Moreover we investigated several relationships among Fuz-⨁-S-Mod and other Fuzzy concepts such as fuzzy D1-module (Fuz-D1-module), Fuzzy Lifting Module (Fuz-L-mod) and Amply Fuzzy Supplemented module (A-Fuz-S-mod) are studied.

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[1]  Aktas. H. and Cagman. N. A. 2007. “A type of fuzzy ring,” Archive for Mathematical Logic, 46( 3-4), pp. 165–177.