DOI QR코드

DOI QR Code

ON FUZZY PRIME SUBMODULES OF FUZZY MULTIPLICATION MODULES

  • 투고 : 2010.09.02
  • 심사 : 2011.01.03
  • 발행 : 2011.01.31

초록

In this paper, we will introduce the concept of fuzzy mulitplication module. We will define a new operation called a product on th 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 de ned 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.

키워드

참고문헌

  1. Reza Ameri, On the Prime Submodules of Multiplication Modules, International Journal of Mathematics and Mathematical Sciences 27 (2003), 1715-1724.
  2. S. Atani, Submodules of Multiplication Modules, Taiwanese Journal of Mathematics, Vol.9, No.3 (2005), 385-396. https://doi.org/10.11650/twjm/1500407847
  3. S. Atani, S. Khojastech and G. Ghaleh, On Multiplication Modules, International Mathematical Forum 1 No.24 (2006), 1175-1180.
  4. T. K. Mukherjee, M. K. Sen and D. Roy, On Fuzzy Submodules and Their Radicals, Journal of Fuzzy Mathematics Vol. 4, No.3 (1996), 549-558.