Quotients of Koszul Algebras and 2-d-Determined Algebras

DOI10.1080/00927872.2013.793695zbMath1309.16017arXiv1210.3847OpenAlexW2081838296MaRDI QIDQ2876240

Christopher Phan, Thomas Cassidy

Publication date: 18 August 2014

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

Full work available at URL: https://arxiv.org/abs/1210.3847

zbMATH Keywords

graded algebrasKoszul algebrasYoneda algebras

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Graded rings and modules (associative rings and algebras) (16W50) Quadratic and Koszul algebras (16S37)

Related Items

The Ext-algebra and associated monomial algebra of a finite dimensional \(K\)-algebra

Cites Work

• Unnamed Item
• Finiteness conditions on the Yoneda algebra of a monomial algebra.
• \(d\)-Koszul algebras, 2-\(d\)-determined algebras and 2-\(d\)-Koszul algebras.
• \(A_\infty\)-algebra structures associated to \(\mathcal K_2\) algebras.
• Generalizing the notion of Koszul algebra.
• Generalized Koszul properties for augmented algebras.
• \(\mathcal K_2\) factors of Koszul algebras and applications to face rings.
• Quadratic algebras with Ext algebras generated in two degrees.
• Koszulity for nonquadratic algebras.