Gorenstein properties of split-by-nilpotent extension algebras

DOI10.33044/revuma.3303MaRDI QIDQ6589659

Pamela Suarez

Publication date: 20 August 2024

Published in: Revista de la Unión Matemática Argentina (Search for Journal in Brave)

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20) Homological dimension in associative algebras (16E10)

Cites Work

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• Split-by-nilpotent extensions and support \(\tau\)-tilting modules
• Singularity categories, Schur functors and triangular matrix rings
• Cluster-tilted algebras are Gorenstein and stably Calabi-Yau
• Gorenstein injective and projective modules
• Relative homological algebra
• Gorenstein properties of simple gluing algebras
• Gorenstein-projective and semi-Gorenstein-projective modules
• The Gorenstein projective modules for the Nakayama algebras. I.
• GORENSTEIN-PROJECTIVE MODULES OVER TRIANGULAR MATRIX ARTIN ALGEBRAS
• ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
• Tilting modules over split-by-nilpotent extensions
• The Gorenstein-projective modules over a monomial algebra
• Stable module theory
• Homological and homotopical aspects of torsion theories

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