Title of article :
Multiplication-Like Modules
Author/Authors :
Ahmadi, M Department of Mathematics - University of Hormozgan - Bandar Abbas - Hormozgan, Iran , Moghaderi, J Department of Mathematics - University of Hormozgan - Bandar Abbas - Hormozgan, Iran
Abstract :
In this paper we introduce the concept of multiplication-like modules and we obtain some related results. We show that an R-module M is multiplication-like if and only if for each ideal I of R, I = (IM :R M). We prove that any multiplication-like module is faithful and r-multiplication. So we get that any flat and multiplication-like module is faithfully flat.
Keywords :
Modules , Free modules , Flat modules , Faithfully , flat modules , Multiplication modules , Multiplication-like modules
Journal title :
International Journal of Industrial Mathematics(IJIM)
