A guide to closure operations in commutative algebra
From MaRDI portal
Publication:2895439
zbMath1244.13001arXiv1106.1119MaRDI QIDQ2895439
Publication date: 2 July 2012
Full work available at URL: https://arxiv.org/abs/1106.1119
Integral closure of commutative rings and ideals (13B22) Ideals and multiplicative ideal theory in commutative rings (13A15) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Research exposition (monographs, survey articles) pertaining to commutative algebra (13-02) General commutative ring theory (13A99)
Related Items (27)
Star, semistar and standard operations: a case study ⋮ A topological version of Hilbert's Nullstellensatz ⋮ On some spectral spaces associated to tensor triangulated categories ⋮ Closure operations that induce big Cohen-Macaulay modules and classification of singularities ⋮ Unnamed Item ⋮ On positive-characteristic semi-parametric local uniform reductions of varieties over finitely generated \(\mathbb {Q}\)-algebras ⋮ A characterization of local Noetherian domains which admit only finitely many star operations: the infinite residue field case ⋮ Some topological considerations on semistar operations ⋮ Closure operations, continuous valuations on monoids and spectral spaces ⋮ On some categories of structured sets ⋮ Closure operations that induce big Cohen-Macaulay algebras ⋮ Axiomatic closure operations, phantom extensions, and solidity ⋮ Multiplicative closure operations on ring extensions ⋮ Unnamed Item ⋮ A new semistar operation on a commutative ring and its applications ⋮ When is a Nakayama closure semiprime? ⋮ Closure-interior duality over complete local rings ⋮ Characteristic-free test ideals ⋮ A topological nullstellensatz for tensor-triangulated categories ⋮ On the interior of a submodule with respect to a set of ideals ⋮ Big Cohen-Macaulay and seed algebras in equal characteristic zero via ultraproducts ⋮ The upper Vietoris topology on the space of inverse-closed subsets of a spectral space and applications ⋮ Closure operations on MV-algebras ⋮ Normality and Related Properties of Forcing Algebras ⋮ Lattices, spectral spaces, and closure operations on idempotent semirings ⋮ Nakayama closures, interior operations, and core-hull duality -- with applications to tight closure theory ⋮ Spectral spaces of semistar operations
This page was built for publication: A guide to closure operations in commutative algebra