Equivalence classes of Wakamatsu tilting modules and preenveloping and precovering subcategories

2025/12/12 by Divaani-Aazar, Kamran, Fallah, Ali Mahin, Tousi, Massoud
#16G99 #18E30 #18G05 #18G35 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2512.11600

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.

Citations

• Comparing four definitions of cotilting modules

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