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11 papers · 1 filter
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…
Local rings of bounded Cohen-Macaulay type
Graham J. Leuschke, Roger Wiegand
Let (R,m,k) be a local Cohen-Macaulay (CM) ring of dimension one. It is known that R has finite CM type if and only if R is reduced and has bounded CM type. Here we study the one-d…
Haar measure on a locally compact quantum group
Byung-Jay Kahng
In the general theory of locally compact quantum groups, the notion of Haar measure (Haar weight) plays the most significant role. The aim of this paper is to carry out a careful a…
Tight closure and linkage classes in Gorenstein rings
Adela Vraciu
We study the relationship between the tight closure of an ideal and the sum of all ideals in its linkage class.
Unmixed local rings with minimal Hilbert-Kunz multiplicity are regular
Craig Huneke, Yongwei Yao
We give a new and simple proof that unmixed local rings having Hilbert-Kunz multiplicity equal to 1 must be regular.
Primary Decomposition: Compatibility, Independence and Linear Growth
Yongwei Yao
For finitely generated modules over a Noetherian ring , we study the following properties about primary decomposition: (1) The Compatibility property, which say…