An equivalence relation on Wakamatsu tilting modules extends Mantese-Reiten theorems from Artin algebras to arbitrary associative rings.
Angeleri H¨ ugel,Infinite dimensional tilting theory, Advances in representation theory of algebras, EMS Series of Congress Reports, Z¨ urich, (2013), 1–37
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Equivalence classes of Wakamatsu tilting modules and preenveloping and precovering subcategories
An equivalence relation on Wakamatsu tilting modules extends Mantese-Reiten theorems from Artin algebras to arbitrary associative rings.