Dergiler / Turkish Journal of Mathematics / 2009 / Cilt: 33 - Sayı: 4

C1 modules with respect to a hereditary torsion theory

Sayfa
321–329
DOI
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Özet

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 t-C1 module for a hereditary torsion theory t on Mod-R. t-C1 modules are a generalization of C1-modules.

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 t-C1 module for a hereditary torsion theory t on Mod-R. t-C1 modules are a generalization of C1-modules.

Anahtar kelimeler: Torsion theory, C1-module, closed submodule.