Examples and quantum sections of schematic algebras

DOI10.1016/S0022-4049(96)00065-5zbMath0892.16020OpenAlexW1994203945MaRDI QIDQ1368594

Luc Willaert, Freddy M. J. van Oystaeyen

Publication date: 4 June 1998

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(96)00065-5

zbMATH Keywords

non-commutative geometryquantum Weyl algebrasRees ringsschemesSklyanin algebrasOre setsconnected graded Noetherian algebrasschematic algebras

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Associative rings of functions, subdirect products, sheaves of rings (16S60) Deformations of associative rings (16S80) Graded rings and modules (associative rings and algebras) (16W50) Ore rings, multiplicative sets, Ore localization (16U20) Localization and associative Noetherian rings (16P50)

Related Items (5)

Grothendieck topology, coherent sheaves and Serre's theorem for schematic algebras ⋮ Sklyanin algebras and Hilbert schemes of points ⋮ Noncommutative curves and noncommutative surfaces ⋮ Valuation extensions of algebras defined by monic Gröbner bases. ⋮ Generic noncommutative surfaces.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Gelfand-Kirillov dimension of certain localizations
• Algebraic properties of linear cellular automata
• Oresche Teilmengen in Einhüllenden Algebren. (Ore subsets in enveloping algebras)
• The diamond lemma for ring theory
• On the field of fractions of certain quantum algebras
• Noncommutative projective schemes
• Quantum sections and gauge algebras
• Grothendieck topology, coherent sheaves and Serre's theorem for schematic algebras
• zariskian filtrations
• Lifting maximal orders
• Generalized Lie algebras
• Homogenized sl(2)
• Examples in non-commutative projective geometry

This page was built for publication: Examples and quantum sections of schematic algebras