Deissler rank complexity of powers of indecomposable injective modules

DOI10.1305/ndjfl/1040511345zbMath0840.03026OpenAlexW2044732501WikidataQ114057254 ScholiaQ114057254MaRDI QIDQ1893140

Rick Chartrand, Thomas Kucera

Publication date: 1 July 1996

Published in: Notre Dame Journal of Formal Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1305/ndjfl/1040511345

zbMATH Keywords

injective envelopesNoetherian ringinjective moduleDeissler rank

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Injective modules, self-injective associative rings (16D50) Noetherian rings and modules (associative rings and algebras) (16P40) Applications of logic in associative algebras (16B70)

Cites Work

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• Injective modules over Noetherian rings
• Explicit descriptions of injective envelopes: generalizations of a result of northcott
• A complete theory with arbitrarily large minimality ranks
• Generalizations of Deissler's Minimality Rank
• Positive deissler rank and the complexity of injective modules
• Minimal models
• Model-completions and modules

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