Ideals of injective dimension 1

DOI10.1307/mmj/1029002732zbMath0535.13011OpenAlexW2003954130WikidataQ114057222 ScholiaQ114057222MaRDI QIDQ790889

Eben Matlis

Publication date: 1982

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029002732

zbMATH Keywords

valuation ringscomplemented extensioninjective dimension \(=\) 1

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Integral domains (13G05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Valuation rings (13F30) Extension theory of commutative rings (13B02) Injective and flat modules and ideals in commutative rings (13C11) Rings of fractions and localization for commutative rings (13B30)

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Commutative semi-coherent and semi-regular rings, Reflexive D-rings, Torsion-free covers and pure-injective envelopes over valuation domains