Abstract
For any compact p-adic Lie group G, the Iwasawa algebra Ω G is an Artin–Schelter Gorenstein algebra. We obtain the Auslander–Buchsbaum formula, the Bass's theorem and the No-holes theorem for noetherian modules over Λ G and Ω G , and the dual versions for their artinian modules. It is shown that Ω G is Morita self-dual via dualizing complexes. We finally consider the homological invariant “grade” of filtered modules over Λ G and Ω G , when G is a uniform pro- p group with certain properties.
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