Growth of graded twisted Calabi-Yau algebras

DOI10.1016/j.jalgebra.2019.07.029zbMath1477.16018arXiv1808.10538OpenAlexW2889141773WikidataQ127369551 ScholiaQ127369551MaRDI QIDQ2326441

Manuel L. Reyes, Daniel Rogalski

Publication date: 7 October 2019

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

Full work available at URL: https://arxiv.org/abs/1808.10538

zbMATH Keywords

superpotentialGK dimensionderivation-quotient algebramatrix-valued Hilbert seriestwisted Calabi Yau algebraAS regular algebramesh relations

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Growth rate, Gelfand-Kirillov dimension (16P90) Graded rings and modules (associative rings and algebras) (16W50)

Related Items

Auslander’s theorem for dihedral actions on preprojective algebras of type A, GRADED TWISTED CALABI–YAU ALGEBRAS ARE GENERALIZED ARTIN–SCHELTER REGULAR, Universal quantum semigroupoids, Generalized Koszul algebra and Koszul duality, Four-vertex quivers supporting twisted graded Calabi-Yau algebras, Superpotentials and quiver algebras for semisimple Hopf actions, Generalized gorensteinness and a homological determinant for preprojective algebras, Maximal Cohen-Macaulay modules over a noncommutative 2-dimensional singularity, Quivers supporting twisted Calabi-Yau algebras, Stably Noetherian algebras of polynomial growth, Isomorphisms of graded path algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Skew Calabi-Yau algebras and homological identities.
• The structure of AS-Gorenstein algebras.
• Superpotentials and higher order derivations.
• Rings graded equivalent to the Weyl algebra.
• Graded algebras of global dimension 3
• Modules over regular algebras of dimension 3
• The classification of 3-dimensional Noetherian cubic Calabi-Yau algebras
• Properties of the fixed ring of a preprojective algebra
• Quivers supporting twisted Calabi-Yau algebras
• The classification of 3-Calabi-Yau algebras with 3 generators and 3 quadratic relations
• Graded Calabi Yau algebras of dimension 3.
• Conjugate Reciprocal Polynomials with All Roots on the Unit Circle
• Growth of graded noetherian rings
• Non-noetherian regular rings of dimension 2
• Generalized gorensteinness and a homological determinant for preprojective algebras
• Algèbre