Rings satisfying every finitely generated module has a Gorenstein projective (pre)envelope

DOI10.1080/00927872.2017.1365880zbMath1440.16003OpenAlexW2747255475MaRDI QIDQ4567837

Li-Xin Mao

Publication date: 20 June 2018

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

Full work available at URL: https://doi.org/10.1080/00927872.2017.1365880

zbMATH Keywords

Gorenstein projective module(pre)cover(pre)envelopeGorenstein \(f\)-projective module

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Free, projective, and flat modules and ideals in associative algebras (16D40) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65)

Related Items

\(n\)-cotorsion pairs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On (strongly) Gorenstein (semi)hereditary rings
• Injective envelopes and (Gorenstein) flat covers.
• Coherence for polynomial rings
• Rings over which all modules are strongly Gorenstein projective
• Finite splitness and finite projectivity
• Flat envelopes in commutative rings
• Injective and flat covers, envelopes and resolvents
• Relative coherence and preenvelopes
• Gorenstein homological dimensions.
• Gorenstein dimensions
• Flat covers of modules
• Gorenstein injective and projective modules
• Relative homological algebra
• Approximations and endomorphism algebras of modules.
• RINGS WITHOUT A GORENSTEIN ANALOGUE OF THE GOVOROV-LAZARD THEOREM
• On (Strongly) Gorenstein Von Neumann Regular Rings
• Covers in finitely accessible categories
• On envelopes with the unique mapping property
• ALL GORENSTEIN HEREDITARY RINGS ARE COHERENT
• Stable module theory