DIVISIBLE ENVELOPES, $\mathcal{P}_1$-COVERS AND WEAK-INJECTIVE MODULES

DOI10.1142/S0219498810004099zbMath1200.13024OpenAlexW2161335749WikidataQ114072570 ScholiaQ114072570MaRDI QIDQ4932795

Silvana Bazzoni

Publication date: 7 October 2010

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498810004099

zbMATH Keywords

almost perfect domaindivisible envelope\(\mathcal P_1\)-coverweak-injective module

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Related Items (8)

Divisibility classes are seldom closed under flat covers ⋮ Almost perfect commutative rings ⋮ Covers and envelopes related to divisibility ⋮ Unnamed Item ⋮ A characterisation of enveloping 1-tilting classes over commutative rings ⋮ On the Cotorsion Pair (𝒫₁, 𝒟) ⋮ \(S\)-almost perfect commutative rings ⋮ CHARACTERIZING ALMOST PERFECT RINGS BY COVERS AND ENVELOPES

Cites Work

• Unnamed Item
• Preprojective modules over Artin algebras
• Applications of contravariantly finite subcategories
• One dimensional tilting modules are of finite type.
• Weak-injectivity and almost perfect domains
• Strongly Flat Covers
• Almost perfect domains
• Weak-Injective Modules
• On Homological Dimensions of Rings with Countably Generated Ideals.

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