Gorenstein homological theory for differential modules

DOI10.1017/S0308210513000541zbMath1352.16006arXiv1202.4157OpenAlexW1550301484MaRDI QIDQ5500284

Jiaqun Wei

Publication date: 5 August 2015

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.4157

zbMATH Keywords

differential moduleGorenstein projectivesyzygy functor

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Syzygies, resolutions, complexes in associative algebras (16E05) Differential graded algebras and applications (associative algebraic aspects) (16E45) Homological dimension in associative algebras (16E10)

Related Items

Minimal free resolutions of differential modules ⋮ Gorenstein projective modules and Frobenius extensions ⋮ Frobenius functors and Gorenstein homological properties ⋮ Differential projective modules over algebras with radical square zero ⋮ A description of Gorenstein projective modules over the tensor products of algebras ⋮ Representations of quivers over the algebra of dual numbers ⋮ Gorenstein theory for \(n\)-th differential modules ⋮ Higher differential objects in additive categories

Cites Work

• Relative homological algebra in the category of quasi-coherent sheaves.
• On algebras of finite Cohen-Macaulay type.
• An Auslander-type result for Gorenstein-projective modules.
• Class rank of differential modules
• Gorenstein derived categories
• Invariant properties of representations under excellent extensions.
• Relative homological algebra
• Gorenstein Projective, Injective, and Flat Complexes

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