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ON FUZZY-⨁-S-MODULES | ||
| Journal of University of Anbar for Pure Science | ||
| Article 15, Volume 11, Issue 2, 2017, Pages 57-60 PDF (279.78 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.37652/juaps.2017.141590 | ||
| Author | ||
| Majid M. Abed* | ||
| 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. | ||
| Keywords | ||
| Fuzzy Module; Fuzzy Submodule; Fuzzy Supplement; Fuzzy D; Module; Fuzzy Semisimple Module | ||
| References | ||
|
[1] Aktas. H. and Cagman. N. A. 2007. “A type of fuzzy ring,” Archive for Mathematical Logic, 46( 3-4), pp. 165–177. | ||
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