Finiteness of ideal transforms

DOI10.1016/0021-8693(80)90031-9zbMath0396.13018OpenAlexW2076294028MaRDI QIDQ1253291

Markus P. Brodmann

Publication date: 1980

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(80)90031-9

zbMATH Keywords

Noetherian RingIdeal TransformsSerre PropertyWeak Finiteness Theorem

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Relevant commutative algebra (14A05) Homological methods in commutative ring theory (13D99)

Related Items

Symbolic Powers of Prime Ideals and Their Topology, Ideal transforms and local cohomology defined by a pair of ideals, Locally unmixed modules and linearly equivalent ideal topologies, Associated primes of local cohomology and \(S_2\)-ification, On the weakly arf \((S_2)\)-ifications of Noetherian rings, Local cohomology of certain Rees- and form-rings. I, Cohomology of standard blowing-up, Integral Closures of Noetherian Integral Domains as Intersections, Rees rings and form rings of almost complete intersections, Local cohomology of certain Rees- and form-rings. II, On the Cohen-Macaulay and Buchsbaum property for unions of planes in affine space, Bounds on the cohomological Hilbert functions of a projective variety, A lifting result for local cohomology of graded modules, Cofiniteness of torsion functors of ideal transforms, Universal property of the Kaplansky ideal transform and affineness of open subsets

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