Equivalence classes of Wakamatsu tilting modules and preenveloping and precovering subcategories

Kamran Divaani-Aazar; Ali Mahin Fallah; Massoud Tousi

Paper

Equivalence classes of Wakamatsu tilting modules and preenveloping and precovering subcategories

Abstract

Let R be an associative ring with identity. We introduce an equivalence relation on the class of Wakamatsu tilting right R modules. By using this equivalence relation, we extend the Mantese Reiten theorems from the setting of Artin algebras to that of arbitrary associative rings.