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math.AC2002★ 2 cited
Localization and test exponents for tight closure
Melvin Hochster, Craig Huneke
In this paper we study various equivalent conditions for tight closure to commute with localization. If N is a submodule of a finitely generated module M over a Noetherian commutat…
math.AC2002
Indecomposable canonical modules and connectedness
Melvin Hochster, Craig Huneke
The purpose of this paper is to prove a generalization of Faltings' connectedness theorem which asserts that, for a complete local domain R of dimension n, the punctured spectrum o…