Some Remarks on Faithful Multiplication Modules

  • Lee, Dong-Soo (Department of Mathematics Chungnam National University) ;
  • Lee, Hyun-Bok (Department of Mathematics Chungnam National University)
  • Received : 1993.06.30
  • Published : 1993.06.30

Abstract

Let R he a commutative ring with identity and let M be a nonzero multiplication R-module. In this note we prove that M is finitely generated if M is a faithful multiplication R-module.

Keywords