IJPAM: Volume 27, No. 2 (2006)

ON PRIMARY SUBMODULES

Ünsal Tekir
Department of Mathematics
University of Marmara
Ziverbey, Göztepe, Istanbul, TURKEY
e-mail: utekir@marmara.edu.tr


Abstract.Let $R$ be a commutative ring with identity and $M$ be an $R$-module$. M$ is called a multiplication module provided for each submodule $N$ of $M$ there exists an ideal $I$ of $R$ such that $N=IM$. This paper is devoted to study some properties of primary submodules of multiplication modules.

Received: March 15, 2006

AMS Subject Classification: 13C05, 13C13

Key Words and Phrases: multiplication modules, primary submodules

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 27
Issue: 2