Strongly Gorenstein Projective Modules Over Upper Triangular Matrix Artin Algebras

DOI10.1080/00927870902828934zbMath1220.16013OpenAlexW2032993351MaRDI QIDQ3656739

Nan Gao, Pu Zhang

Publication date: 14 January 2010

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

Full work available at URL: https://doi.org/10.1080/00927870902828934

zbMATH Keywords

strongly Gorenstein projective modulesstrongly complete projective resolutionsupper triangular matrix Artin algebras

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Cohen-Macaulay modules in associative algebras (16G50) Representations of associative Artinian rings (16G10) Syzygies, resolutions, complexes in associative algebras (16E05)

Related Items

Tilting pairs and Wakamatsu tilting subcategories over triangular matrix algebras, Gorenstein homological dimensions of modules over triangular matrix rings, Representations of quivers over Artinian rings, n-Strongly Gorenstein Projective, Injective and Flat Modules, Gorenstein projective modules over a class of generalized matrix algebras and their applications.

Cites Work

• Cohen-Macaulay modules, (co)torsion pairs and virtually Gorenstein algebras.
• Tame algebras and integral quadratic forms
• Strongly Gorenstein projective, injective, and flat modules
• Gorenstein dimensions
• Gorenstein injective and projective modules
• ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
• Auslander-Reiten Triangles in Derived Categories of Finite-Dimensional Algebras
• Homological and homotopical aspects of torsion theories