Abstract

An R-module M is said to be a C1-module if every closed submodule of M is a direct summand. In this paper we introduce and investigate the concept of the \tau-C1 module for a hereditary torsion theory \tau on Mod-R. \tau-C1 modules are a generalization of C1-modules.

DOI

10.3906/mat-0808-3

Keywords

Torsion theory, C1-module, closed submodule.

First Page

321

Last Page

330

Recommended Citation

ÖZEN, T (2009). C1 modules with respect to a hereditary torsion theory. Turkish Journal of Mathematics 33 (4): 321-330. https://doi.org/10.3906/mat-0808-3

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