Tilting Modules over Almost Perfect Domains

Details Tilting Modules over Almost Perfect Domains Tilting Modules over Almost Perfect Domains

2009-03-05

arxiv.org/abs/0903.1099v1

Mathematics

Commutative Algebra

15 pages

Scientific paper

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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