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Your search keyword '"Torsion theory"' showing total 2 results
2 results on '"Torsion theory"'

1. Lattice preradicals with applications to Grothendieck categories and torsion theories.

Author

Albu, Toma and Iosif, Mihai

Subjects
*LATTICE theory, *RADICAL theory, *GROTHENDIECK categories, *TORSION theory (Algebra), *MODULES (Algebra)
Abstract

In this paper we introduce and investigate the latticial counterpart of the module-theoretical concept of preradical. Applications are given to Grothendieck categories and module categories equipped with hereditary torsion theories. [ABSTRACT FROM AUTHOR]

Published
2015
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2. A RELATIVE EXTENDING MODULE AND TORSION PRECOVERS.

Author

BERKTAŞ, M. KEMAL and DOĞRUÖZ, S.

Subjects
*MODULES (Algebra), *TORSION theory (Algebra), *HOMOMORPHISMS, *INTERSECTION theory, *ISOMORPHISM (Mathematics)
Abstract

We first characterize τ-complemented modules with relative (pre)covers. We also introduce an extending module relative to τ-pure submodules on a hereditary torsion theory τ and give its relationship with τ-complemented modules. [ABSTRACT FROM AUTHOR]

Published
2015

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