C1 modules with respect to a hereditary torsion theory

Authors: TAHİRE ÖZEN

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.

Keywords: Torsion theory, C1-module, closed submodule.

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