On fuzzy prime submodules of fuzzy multiplication modules
0
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
In this paper, we will introduce the concept of fuzzy mulitplication module. We will define a new operation called a product on the family of all fuzzy submodules of a fuzzy mulitplication module. We will define a fuzzy subset of the idealization ring R+M and find some relations with the product of fuzzy submodules and product of fuzzy ideals of the idealization ring R+M, Some properties of weakly fuzzy prime submoduels and fuzzy prime submodules which are defined by T.K.Mukherjee, M.K.Sen and D.Roy will be introduced. We will investigate some properties of fuzzy prime submodules of a fuzzy multiplication module.
Abstract
In this paper, we will introduce the concept of fuzzy mulitplication module. We will define a new operation called a product on the family of all fuzzy submodules of a fuzzy mulitplication module. We will define a fuzzy subset of the idealization ring R+M and find some relations with the product of fuzzy submodules and product of fuzzy ideals of the idealization ring R+M, Some properties of weakly fuzzy prime submoduels and fuzzy prime submodules which are defined by T.K.Mukherjee, M.K.Sen and D.Roy will be introduced. We will investigate some properties of fuzzy prime submodules of a fuzzy multiplication module.
참고문헌 (4)
- Reza Ameri, "On the Prime Submodules of Multiplication Modules", International Journal of Mathematics and Mathematical Sciences, 27, pp.1715~1724 (2003)
- S. Atani, "Submodules of Multiplication Modules", Taiwanese Journal of Mathematics, 9(3), pp.385~396 (2005)
- S. Atani, "On Multiplication Modules", International Math-ematical Forum, 1(24), pp.1175~1180 (2006)
- T. K. Mukherjee, "On Fuzzy Submodules and Their Radicals", Journal of Fuzzy Mathematics, 4(3), pp.549~558 (1996)