Filtrations of Totally Reflexive Modules

DOI10.1080/00927872.2015.1130142zbMath1362.13017arXiv1410.0732OpenAlexW2963323026MaRDI QIDQ2817531

Denise Rangel Tracy

Publication date: 31 August 2016

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

Full work available at URL: https://arxiv.org/abs/1410.0732

zbMATH Keywords

presentation matrixtotally reflexive moduleupper triangular matrixexact zerodivisorsaturated \(TR\)-filtration

Mathematics Subject Classification ID

Homological algebra in category theory, derived categories and functors (18G99) Homological methods in commutative ring theory (13D99)

Related Items (1)

On the existence of non-free totally reflexive modules

Cites Work

• Unnamed Item
• Brauer-Thrall for totally reflexive modules
• Finite Gorenstein representation type implies simple singularity
• Asymptotic properties of Betti numbers of modules over certain rings
• Gorenstein dimensions
• Free resolutions over short Gorenstein local rings
• ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
• Construction of totally reflexive modules from an exact pair of zero divisors
• Stable module theory

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