Local cohomology properties of direct summands

DOI10.1016/j.jpaa.2012.02.010zbMath1375.13025arXiv1108.4455OpenAlexW2092673708MaRDI QIDQ1934967

Luis Núñez-Betancourt

Publication date: 30 January 2013

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.4455

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45)

Related Items

\(D\)-modules, Bernstein-Sato polynomials and \(F\)-invariants of direct summands ⋮ Associated primes of local cohomology of flat extensions with regular fibers and \(\varSigma\)-finite \(D\)-modules ⋮ Homogeneous coordinate rings as direct summands of regular rings ⋮ Valuation rings are derived splinters ⋮ Finiteness properties and numerical behavior of local cohomology ⋮ Local cohomology modules of polynomial or power series rings over rings of small dimension ⋮ ON THE ASSOCIATED PRIMES OF LOCAL COHOMOLOGY

Cites Work

• Unnamed Item
• Finiteness properties of local cohomology modules (an application of \(D\)- modules to commutative algebra)
• Failure of splitting from module-finite extension rings
• Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay
• Splitting results in module-finite extension rings and Koh's conjecture
• A property of local cohomology modules of polynomial rings
• Bass Numbers of Local Cohomology Modules
• F-modules: applications to local cohomology and D-modules in characteristic p>0.
• Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes