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Start Over Topic mathematics Topic mathematics::commutative algebra Topic mathematics::representation theory Language turkish
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1. The Ext-strongly Gorenstein projective modules

Author

Jie Ren

Subjects
Strongly Gorenstein projective modules,precovers,Ext-strongly Gorenstein projective modules,projectively resolving, Class (set theory), Pure mathematics, Mathematics::Algebraic Geometry, Mathematics::Commutative Algebra, Mathematics::K-Theory and Homology, General Mathematics, Mathematics::Rings and Algebras, Projective cover, Projective test, Arithmetic, Mathematics::Representation Theory, Mathematics
Abstract

In this paper, we introduce and study Ext-strongly Gorenstein projective modules. We prove that the class of Ext-strongly Gorenstein projective modules is projective resolving. Moreover, we consider Ext-strongly Gorenstein projective precovers.

Published
2015

2. A characterization of Auslander category

Author

Juxiang Sun

Subjects
Subcategory, Semidualizing module,Auslander class,Bass class, Pure mathematics, Mathematics::Commutative Algebra, General Mathematics, Mathematics::Rings and Algebras, Bijection, Mathematics::Representation Theory, Associative property, Mathematics
Abstract

In this paper, we discuss the Bass class and the Auslander class with respect to a semidualizing module over an associative ring. Let SCR be a semidualizing module, we proved that the Bass class BC (R) is a right orthogonal subcategory of some right R-module; and that the Auslander class AC (S) is a left orthogonal subcategory of the character module of some left S-module. As an application, we introduce the notion of the minimal semidualizing module, and get a one to one correspondence between the isomorphism classes of minimal semidualizing R-modules and maximal classes among coresolving preenvelope classes of Mod R with the same Ext-projective generators in gen* R.

Published
2014