Tahire ÖZEN

5380

C1 modules with respect to a hereditary torsion theory

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.

C1 modules with respect to a hereditary torsion theory

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.

Keywords:

Torsion theory, C1-module, closed submodule.,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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