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Showing 1 to 5 of 5 for “"Krull dimension"”.
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Rings and modules with Krull dimension
… and the relationships between various forms of Krull dimension.
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On Gorenstein Projective and Gorenstein Flat Modules
… over commutative Noetherian rings of finite Krull dimension, every Gorenstein at module has finite Gorenstein projective dimension. This statement is the Gorenstein counterpart of a famous theorem of Gruson, Jensen, and Raynaud. Using this result we prove that over such rings, a module M …
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On tautological classes of fibre bundles and self-embedding calculus
… In some cases we find an upper bound on the Krull dimension that is sharp. In the second part, we study the classifying space using the calculus of embeddings which provides a homotopy theoretic approximation. We construct cohomology classes on the self-embedding tower which extend certain …
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Arithmetic duality in algebraic K-theory
… of finite type over Z which is connected and of Krull dimension </= 1). We define a compactly-supported variant Kc(X) of the algebraic K-theory spectrum K(X), and establish the basic functoriality of Kc. Briefly, K, behaves as if it were dual to K. Then we give this duality some grounding: for …