On Stability of F-Gorenstein Flat Categories

DOI10.1142/S1005386716000286zbMath1346.16006OpenAlexW2298639931MaRDI QIDQ2809249

Jiangsheng Hu, Aimin Xu

Publication date: 27 May 2016

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

Full work available at URL: https://doi.org/10.1142/s1005386716000286

zbMATH Keywords

Gorenstein flat complexesGorenstein flat modulesflat cotorsion pairsGorenstein flat categories

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Resolutions; derived functors (category-theoretic aspects) (18G10) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

Related Items (10)

Noncommutative G-semihereditary rings ⋮ Exponential stability of antiperiodic solution for BAM neural networks with time-varying delays ⋮ Mean-square exponential input-to-state stability of stochastic fuzzy recurrent neural networks with multiproportional delays and distributed delays ⋮ Exponential Lagrange stability for Markovian jump uncertain neural networks with leakage delay and mixed time-varying delays via impulsive control ⋮ A new stability criterion for neutral stochastic delay differential equations with Markovian switching ⋮ Stabilization of stochastic functional differential systems with delayed impulses ⋮ Observer-based sliding mode control for stochastic nonlinear Markovian jump systems ⋮ Stability analysis for discrete-time stochastic fuzzy neural networks with mixed delays ⋮ Gorenstein projective complexes with respect to cotorsion pairs ⋮ A new method to construct model structures from a cotorsion pair

Cites Work

• AB-contexts and stability for Gorenstein flat modules with respect to semidualizing modules
• Cohomology theories based on flats
• Totally acyclic complexes over noetherian schemes
• Homological dimensions of unbounded complexes
• Gorenstein homological dimensions.
• Gorenstein injective and projective modules
• Gorenstein Projective, Injective, and Flat Complexes
• Gorenstein Injective and Projective Complexes with Respect to a Semidualizing Module
• Gorenstein injective and projective complexes
• The flat model structure on 𝐂𝐡(𝐑)
• Stability of Gorenstein categories
• Character modules, dimension and purity

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