2009/03/05 by Jawad Abuhlail, Abuhlail, Jawad, M. Jarrar +1
Mathematics · #Algebraic structures and combinatorial models #Rings, Modules, and Algebras #Commutative Algebra and Its Applications
paper · pdf · doi:10.48550/arxiv.0903.1099
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).