Equivalence classes of Wakamatsu tilting modules and preenveloping and precovering subcategories
Representation Theory
2026-05-14 v2
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.
Keywords
Cite
@article{arxiv.2512.11600,
title = {Equivalence classes of Wakamatsu tilting modules and preenveloping and precovering subcategories},
author = {Kamran Divaani-Aazar and Ali Mahin Fallah and Massoud Tousi},
journal= {arXiv preprint arXiv:2512.11600},
year = {2026}
}
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