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arXiv · 2512.11600

Equivalence classes of Wakamatsu tilting modules and preenveloping and precovering subcategories

Kamran Divaani-Aazar·Ali Mahin Fallah·Massoud Tousi
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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.

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Kamran Divaani-Aazar, Ali Mahin Fallah, Massoud Tousi. 2025-12-12. Equivalence classes of Wakamatsu tilting modules and preenveloping and precovering subcategories. https://arxiv.org/abs/2512.11600

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