Tilting modules over almost perfect domains |
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Authors: | Jawad Abuhlail Mohammad Jarrar |
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Affiliation: | Department of Mathematics and Statistics, Box 5046, KFUPM, 31261 Dhahran, Saudi Arabia |
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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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Keywords: | 13C05 13D07 13H99 |
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