Grothendieck topology, coherent sheaves and Serre's theorem for schematic algebras

DOI10.1016/0022-4049(94)00118-3zbMath0854.16027OpenAlexW2080327789WikidataQ116689256 ScholiaQ116689256MaRDI QIDQ1903703

Luc Willaert, Freddy M. J. van Oystaeyen

Publication date: 26 June 1996

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

Full work available at URL: https://hdl.handle.net/10067/124190151162165141

zbMATH Keywords

geometric objectsquantum groupsOre setsquasicoherent sheafschematic algebrasnoncommutative Grothendieck topology

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Associative rings of functions, subdirect products, sheaves of rings (16S60) Graded rings and modules (associative rings and algebras) (16W50) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Ore rings, multiplicative sets, Ore localization (16U20)

Related Items

Ideal classes of three-dimensional Sklyanin algebras. ⋮ Structure sheaves and noncommutative topologies ⋮ Examples and quantum sections of schematic algebras ⋮ Ideals of cubic algebras and an invariant ring of the Weyl algebra. ⋮ Derived equivalence for quantum symplectic resolutions ⋮ Localizations and sheaves of glider representations ⋮ UNIFORM FILTERS AND SEMI-COMPATIBILITY ⋮ Valuation extensions of algebras defined by monic Gröbner bases. ⋮ On noncommutative Noetherian schemes. ⋮ Generic noncommutative surfaces.

Cites Work

• Faisceaux algébriques cohérents
• Examples and quantum sections of schematic algebras
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