Gorenstein homological dimensions of modules over triangular matrix rings

DOI10.3906/mat-1504-67zbMath1424.16029arXiv1412.8554OpenAlexW2962942383MaRDI QIDQ4633093

Zhanping Wang, Liu, Zhongkui, Rongmin Zhu

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.8554

zbMATH Keywords

triangular matrix ringGorenstein homological dimensionGorenstein regular ring

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Other classes of modules and ideals in associative algebras (16D80) Homological dimension in associative algebras (16E10)

Related Items (3)

Ding modules and dimensions over formal triangular matrix rings ⋮ Unnamed Item ⋮ Gorenstein flat modules and dimensions over formal triangular matrix rings

Cites Work

• Unnamed Item
• Unnamed Item
• Modules over formal matrix rings.
• On the dimensions of path algebras.
• Singularity categories, Schur functors and triangular matrix rings
• Strongly Gorenstein projective, injective, and flat modules
• On the representation theory of rings in matrix form
• Trivial extensions of Abelian categories. Homological algebra of trivial extensions of Abelian categories with applications to ring theory
• Gorenstein homological dimensions.
• Injectivity conditions over a formal triangular matrix ring
• Gorenstein injective and projective modules
• Relative homological algebra
• Study of modules over formal triangular matrix rings
• Gorenstein-projective modules and symmetric recollements
• Gorenstein conditions over triangular matrix rings
• Flat covers over formal triangular matrix rings and minimal Quillen factorizations
• On the vanishing of Ext over formal triangular matrix rings
• Strongly Gorenstein Projective Modules Over Upper Triangular Matrix Artin Algebras
• Study of formal triangular matrix rings
• Gorenstein categories and Tate cohomology on projective schemes

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