DG algebra structures on the quantum affine \(n\)-space \(\mathcal{O}_{- 1}( k^n)\)

DOI10.1016/j.jalgebra.2021.11.039OpenAlexW4200068664MaRDI QIDQ2068143

Yanyan Li

Publication date: 19 January 2022

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

Full work available at URL: https://arxiv.org/abs/2009.03532

zbMATH Keywords

Calabi-Yau DG algebracochain DG algebraext-algebraKoszul DG algebraquantum affine space

Mathematics Subject Classification ID

Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Automorphisms and endomorphisms (16W20) Differential graded algebras and applications (associative algebraic aspects) (16E45) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (1)

Local cohomology for Gorenstein homologically smooth DG algebras

Cites Work

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• Connected cochain DG algebras of Calabi-Yau dimension 0
• Homological Invariants for Connected DG Algebras
• Gorenstein space with nonzero evaluation map
• Non-noetherian regular rings of dimension 2
• Calabi–Yau properties of nontrivial Noetherian DG down-up algebras
• Realizability of modules over Tate cohomology
• Isomorphism problem and homological properties of DG-free algebras
• A sufficient condition for a connected DG algebra to be Calabi-Yau
• Quasi-permutation singular matrices are products of idempotents

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