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