On the number of injective indecomposable modules

DOI10.1006/jabr.2000.8464zbMath0976.16003OpenAlexW2165663455WikidataQ121841491 ScholiaQ121841491MaRDI QIDQ1840610

Hans-Heinrich Brungs, Günter Törner

Publication date: 16 December 2001

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

Full work available at URL: https://semanticscholar.org/paper/ab00aeecc89ef65a7de29747e510c83a0bd42df5

zbMATH Keywords

associated prime idealscompletely prime idealsindecomposable injective right modulesnoncommutative valuation rings

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Ideals in associative algebras (16D25)

Cites Work

• Injective modules over Noetherian rings
• Extensions of chain rings
• Valuation domains without pathological modules
• Chain rings and prime ideals
• Ideal theory of right cones and associated rings
• Generalized Dedekind domains and their injective modules
• \(\Sigma\)-injective modules over left duo and left distributive rings
• Principally injective rings
• Noncommutative rings whose cyclic modules have cyclic injective hulls
• On fully left bounded left Noetherian rings
• Injective Modules Over Prufer Rings
• Unzerlegbare, injektive Moduln über Kettenringen.
• Rank theory of modules
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