Linear equations over noncommutative graded rings.

DOI10.1016/j.jalgebra.2005.09.014zbMath1108.16038arXivmath/0404419OpenAlexW1979339332MaRDI QIDQ2583024

Dmitri Piontkovski

Publication date: 13 January 2006

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

Full work available at URL: https://arxiv.org/abs/math/0404419

zbMATH Keywords

Hilbert serieslinear equationsgraded ringscoherent ringsSklyanin algebrasKoszul filtrationsstrongly Noetherian algebrasNoetherian PI algebras

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (1)

Computing minimal free resolutions of right modules over noncommutative algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Every Noetherian uniformly coherent ring has dimension at most 2
• Koszul algebras and their ideals.
• Diophantine equations, Hilbert series, and undecidable spaces
• Coherence of amalgamations
• The occurrence problem for Lie algebras
• Quadratic algebras of skew type and the underlying monoids.
• Multiplicative bases, Gröbner bases, and right Gröbner bases
• Universally Koszul algebras
• Initially Koszul algebras
• Ideal classes of three dimensional Artin-Schelter regular algebras.
• Noncommutative proj and coherent algebras
• Generic noncommutative surfaces.
• Generic flatness for strongly Noetherian algebras
• Anneaux et modules cohérents
• Massey operations and the Poincaré series of certain local rings
• Universally Koszul algebras defined by monomials.
• Direct Products of Modules
• On the Homology of Associative Algebras
• Mayer-Vietoris Presentations Over Colimits of Rings
• On graded algebras of global dimension 3
• Koszul property for points in projective spaces
• One-sided noncommutative Gröbner bases with applications to computing Green's relations
• Abstract Hilbert schemes. I
• On the rate of points in projective spaces
• The graded algebra generated by two Eulerian derivatives

This page was built for publication: Linear equations over noncommutative graded rings.