Adjunction ofpth Roots to Dedekind Domains and Injective Modules

DOI10.1081/AGB-120016761zbMath1045.13001OpenAlexW2077959870MaRDI QIDQ4803356

Nicole Nossem

Publication date: 2 April 2003

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

Full work available at URL: https://doi.org/10.1081/agb-120016761

zbMATH Keywords

characteristic \(p\)Frobenius morphismtight closureDedekind domaininjective modulesparametrisation

Mathematics Subject Classification ID

Integral domains (13G05) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Injective and flat modules and ideals in commutative rings (13C11)

Cites Work

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• Linear growth of primary decompositions of integral closures
• Powers of ideals. Primary decompositions, Artin-Rees lemma and regularity
• Bijective Extensions of Injective Ring Endomorphisms
• Unzerlegbare, injektive Moduln über Kettenringen.
• Skew-polynomial rings of frobenius type and the theory of tight closure
• Injective modules and linear growth of primary decompositions

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