Tilting Modules over Almost Perfect Domains
classification
🧮 math.AC
math.RA
keywords
tiltingmodulesdomainsalmostclassesclassificationcompleteperfect
read the original abstract
We provide a complete classification of all tilting modules and tilting classes over almost perfect domains, which generalizes the classifications of tilting modules and tilting classes over Dedekind and 1-Gorenstein domains. Assuming the APD is Noetherian, a complete classification of all cotilting modules is obtained (as duals of the tilting ones).
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