IJPAM: Volume 31, No. 3 (2006)
Department of Basic Courses
Jinling Institute of Technology
314 Baixia Road, Nanjing, 210001, P.R. CHINA
e-mail: gyzhang@jit.edu.cn
Abstract.Let be any ring with identity. A right
-module
is called a top module if
is a space with Zariski topology. In this paper it will be showed that a right semi-simple module
over a right quasi-duo ring
is top if and only if it is distributive. If
is a right quasi-duo, right perfect ring and
is a right top
-module, then it is cyclic. In addition, several known results on the multiplication modules are extended to top modules.
Received: June 29, 2006
AMS Subject Classification: 16S02, 16D11, 54A03
Key Words and Phrases: top module, prime submodule, Zariski topology, uniserial module
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 31
Issue: 3