Dagger closure and solid closure in graded dimension two

Brenner, Holger; Stäbler, Axel

doi:10.1090/S0002-9947-2013-05806-0

Dagger closure and solid closure in graded dimension two
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by Holger Brenner and Axel Stäbler PDF

Trans. Amer. Math. Soc. 365 (2013), 5883-5910 Request permission

Abstract:

We introduce a graded version of dagger closure and prove that it coincides with solid closure for homogeneous ideals in two-dimensional $\mathbb {N}$-graded domains of finite type over a field.

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