Weak and injective dimensional analogues of Kaplansky’s and Auslander’s lemmas for purity

DOI10.3906/mat-2107-13OpenAlexW3199367799WikidataQ114022792 ScholiaQ114022792MaRDI QIDQ5099127

Sang Bum Lee, László Fuchs

Publication date: 31 August 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-2107-13

zbMATH Keywords

injective dimensionpure exact sequenceweak dimensionKaplansky's lemmaAuslander's lemmacontinuous chains of modules

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Homological dimension in associative algebras (16E10) Other special types of modules and ideals in commutative rings (13C13)

Related Items (1)

Covers and envelopes related to divisibility

Cites Work

• An introduction to homological algebra
• Relative homological algebra
• On the Dimension of Modules and Algebras (III): Global Dimension
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