Approximations and cotorsion pairs related to a tilting pair

Abstract

The notion of a tilting pair over artin algebras was introduced by Miyashita in 2001. It is a useful tool in the tilting theory. Approximations and cotorsion pairs related to a fixed tilting pair were discussed. A contravariantly (covariantly) finite subcategory and a cotorsion pair associated with a fixed tilting pair were given in this paper.

Keywords

Selforthogonal module / contravariantly (covariantly) finite subcategory / cotorsion pair / tilting pair

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