Finite good filtration dimension for modules over an algebra with good filtration
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Finite good filtration dimension for modules over an algebra with good filtration
Let G be a connected reductive linear algebraic group over a field k of characteristic p > 0. Let p be large enough with respect to the root system. We show that if a finitely generated commutative k-algebra A with G-action has good filtration, then any noetherian A-module with compatible G-action has finite good filtration dimension.
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2006
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2005.02.014