Explicit descriptions of injective envelopes: generalizations of a result of northcott

DOI10.1080/00927878908823871zbMath0692.16015OpenAlexW2089046978MaRDI QIDQ3033930

Thomas Kucera

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1080/00927878908823871

zbMATH Keywords

polynomial ringprime idealslocalizationinjective hullnoetherian ringsinverse polynomialsmultiplicatively closed setganginjective indecomposable modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Commutative Noetherian rings and modules (13E05) Polynomials over commutative rings (13B25) Rings of fractions and localization for commutative rings (13B30)

Related Items

Deissler rank complexity of powers of indecomposable injective modules ⋮ Conditions for a Module to be Injective and some Applications to Hopf Algebra Duality

Cites Work

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• Über injektive Moduln
• A Duality Theory for Injective Modules. (Theory of Quasi-Frobenius Modules)
• Constructing pure injective hulls
• ON THE INJECTIVE DIMENSION OF MODULES OF POWER SERIES
• Infective Envelopes and Inverse Polynomials
• Model-completions and modules
• Galois Theory of Essential Extensions of Modules
• Abelian groups that are direct summands of every containing abelian group