International Journal of Mathematics and Mathematical Sciences
Volume 31 (2002), Issue 6, Pages 321-327
doi:10.1155/S0161171202107149

Submodules of secondary modules

Abstract

Let R be a commutative ring with nonzero identity. Our objective is to investigate representable modules and to examine in particular when submodules of such modules are representable. Moreover, we establish a connection between the secondary modules and the pure-injective, the Σ-pure-injective, and the prime modules.