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1. Covers and preenvelopes by V-Gorenstein flat modules

Author

Xiaoyan Yang

Subjects
Class (set theory), Pure mathematics, Mathematics::Algebraic Geometry, Mathematics::Commutative Algebra, General Mathematics, Mathematics::Rings and Algebras, Dualizing module,V-Gorenstein flat module,precover,preenvelope, Mathematics
Abstract

In this paper, we introduce and study V -Gorenstein at modules and show the stability of the category of V -Gorenstein at modules. We investigate the existence of V -Gorenstein at covers and V -Gorenstein at preenvelopes for any left R -module. Also we prove that ( V - GF ;V - GF ? ) is a perfect hereditary cotorsion pair in B l ( R) , where V - GF stands the class of V -Gorenstein at left R -modules and B l ( R) is the left Bass class. Some applications are given.

Published
2015

2. 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