Double Ore extensions.
From MaRDI portal
Publication:949645
DOI10.1016/j.jpaa.2008.05.008zbMath1157.16009arXiv0712.2549OpenAlexW2077266998MaRDI QIDQ949645
Publication date: 21 October 2008
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0712.2549
global dimensionGelfand-Kirillov dimensionArtin-Schelter regular algebrasOre extensionsconnected graded algebrasright double extensions
Ordinary and skew polynomial rings and semigroup rings (16S36) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Graded rings and modules (associative rings and algebras) (16W50) Homological dimension in associative algebras (16E10)
Related Items
Artin-Schelter regularity of twisted tensor products ⋮ Nakayama automorphisms of PBW deformations and Hopf actions. ⋮ Realization of PBW-deformations of type \(\mathbb{A}_n\) quantum groups via multiple Ore extensions ⋮ Nakayama automorphisms of twisted tensor products ⋮ REGULARITY CRITERION AND CLASSIFICATION FOR ALGEBRAS OF JORDAN TYPE ⋮ Universal enveloping algebras of Poisson Ore extensions ⋮ Artin-Schelter regular algebras of dimension five with two generators. ⋮ A class of AS-regular algebras of dimension five. ⋮ Unnamed Item ⋮ A dichotomy between twisted tensor products of bialgebras and Frobenius algebras ⋮ Description of bi-quadratic algebras on 3 generators with PBW basis ⋮ Homogenized skew PBW extensions ⋮ Calabi-Yau pointed Hopf algebras of finite Cartan type. ⋮ Classification of relation types of Ore extensions of dimension 5 ⋮ The quadratic algebras in Artin-Schelter regular algebras of dimension five ⋮ Universal enveloping algebras of generalized Poisson-Ore extensions ⋮ Nakayama automorphisms of double Ore extensions of Koszul regular algebras ⋮ Ext-algebras of graded skew extensions ⋮ Higher derivations of Ore extensions by \(q\)-skew derivations. ⋮ HOMOGENEOUS PBW DEFORMATION FOR ARTIN–SCHELTER REGULAR ALGEBRAS ⋮ Enveloping algebras of double Poisson-Ore extensions ⋮ Double extension regular algebras of type (14641). ⋮ Primitive cohomology of Hopf algebras ⋮ Double Ore extensions versus graded skew PBW extensions ⋮ Algunos tipos especiales de determinantes en extensiones PBW torcidas graduadas ⋮ Koszulity for graded skew PBW extensions ⋮ Poisson double extensions ⋮ Double Ore Extensions Versus Iterated Ore Extensions ⋮ Twisted Segre products ⋮ On the structure of semi-invariant polynomials in Ore extensions. ⋮ Some algebras similar to the 2×2 Jordanian matrix algebra
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Double extension regular algebras of type (14641).
- Some algebraic structures connected with the Yang-Baxter equation. Representations of quantum algebras
- Regular algebras of dimension 4 and their \(A_\infty\)-Ext-algebras.
- Some algebraic structures connected with the Yang-Baxter equation
- Graded algebras of global dimension 3
- Modules over regular algebras of dimension 3
- The diamond lemma for ring theory
- Quadratic algebras associated with the union of a quadric and a line in \(\mathbb{P}^ 3\)
- Connected graded Gorenstein algebras with enough normal elements
- Embedding a quantum nonsingular quadric in a quantum \(\mathbb{P}^3\)
- Generic flatness for strongly Noetherian algebras
- Central extensions of three dimensional Artin-Schelter regular algebras
- Growth of graded noetherian rings
- Some quantum P3s with infinitely many points
- Four dimensional regular algebras with point scheme, anonsingular quadric in P3
- The Defining Relations of Quantum n × n Matrices
- HOMOLOGICAL TRANSCENDENCE DEGREE
- Grassmannians of 2-Sided Vector Spaces