6533b82dfe1ef96bd12907a1

RESEARCH PRODUCT

Dagger closure and solid closure in graded dimension two

Holger BrennerAxel StäblerAxel Stäbler

subject

DaggerPure mathematicsHomogeneousApplied MathematicsGeneral MathematicsDimension (graph theory)Closure (topology)Field (mathematics)Type (model theory)Mathematics

description

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

https://doi.org/10.1090/s0002-9947-2013-05806-0