THE PRODUCT OF MULTIPLICATION SUBMODULES

  • ATANI, SHAHABADDIN EBRAHIMI (Department of Mathematics University of Guilan)
  • Received : 2004.11.16
  • Accepted : 2005.01.20
  • Published : 2005.03.25

Abstract

Let R be a commutative ring with non-zero identity. This paper is devoted to the study some of properties of the product of submodules of a multiplication module. Suppose N is a submodule of a multiplication R-module M. We give a condition which allows us to determine whether N is finitely generated when we assume some power of N is finitely generated.

Keywords

Multiplication module;Finite generation;Weakly primary

References

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