Non-noetherian regular rings of dimension 2
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Publication:4387032
DOI10.1090/S0002-9939-98-04480-3zbMath0902.16036OpenAlexW1800878947MaRDI QIDQ4387032
Publication date: 6 May 1998
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04480-3
Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Graded rings and modules (associative rings and algebras) (16W50) Homological dimension in associative algebras (16E10) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)
Related Items (23)
Frobenius-Perron theory for projective schemes ⋮ Deformations of Koszul Artin-Schelter Gorenstein algebras. ⋮ On quantum groups associated to non-Noetherian regular algebras of dimension 2 ⋮ The Calabi-Yau property of Ore extensions of two-dimensional Artin-Schelter regular algebras and their PBW deformations ⋮ Calabi-Yau property under monoidal Morita-Takeuchi equivalence ⋮ Nakayama automorphisms of graded Ore extensions of Koszul Artin-Schelter regular algebras ⋮ Koszul algebras and their ideals. ⋮ \(m\)-Koszul Artin-Schelter regular algebras ⋮ The structure of AS-Gorenstein algebras. ⋮ Skew polynomial algebras with coefficients in Koszul Artin-Schelter regular algebras. ⋮ 𝐴_{∞}-structures associated with pairs of 1-spherical objects and noncommutative orders over curves ⋮ Coherent algebras and noncommutative projective lines. ⋮ Graded algebras and their differential graded extensions. ⋮ The Grothendieck group of non-commutative non-Noetherian analogues of \(\mathbb{P}^1\) and regular algebras of global dimension two ⋮ Graded 3-Calabi-Yau algebras as Ore extensions of 2-Calabi-Yau algebras ⋮ Double extension regular algebras of type (14641). ⋮ Calabi-Yau algebras viewed as deformations of Poisson algebras. ⋮ DG algebra structures on the quantum affine \(n\)-space \(\mathcal{O}_{- 1}( k^n)\) ⋮ Morphisms to noncommutative projective lines ⋮ Growth of graded twisted Calabi-Yau algebras ⋮ An abstract characterization of noncommutative projective lines ⋮ NEW CHARACTERIZATIONS OF GENERALIZED DEDEKIND PRIME RINGS ⋮ Cluster categories of formal DG algebras and singularity categories
Cites Work
- On the cohomology of one-relator associative algebras
- Graded algebras of global dimension 3
- Modules over regular algebras of dimension 3
- The diamond lemma for ring theory
- Artin-Schelter regular algebras of global dimension three
- Growth of graded noetherian rings
- Quadratic algebras with few relations
- Twisted Graded Algebras and Equivalences of Graded Categories
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