Subspaces of non-commutative spaces

DOI10.1090/S0002-9947-02-02963-XzbMath0998.14003arXivmath/0104033OpenAlexW2110433432MaRDI QIDQ2781401

S. Paul. Smith

Publication date: 19 March 2002

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0104033

zbMATH Keywords

non-commutative geometrypoint modules

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Rings arising from noncommutative algebraic geometry (16S38) Categories in geometry and topology (18F99) Noetherian rings and modules (associative rings and algebras) (16P40)

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Cites Work

• Modules over regular algebras of dimension 3
• Curves on quasi-schemes
• Noncommutative projective schemes
• Graded modules of Gelfand-Kirillov dimension one over three-dimensional Artin-Schelter regular algebras
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• Blowing up of non-commutative smooth surfaces
• On Quantum Spaces of Lie Algebras
• Les t-anneaux, la condition (H) de gabriel et ses consequences
• A New Algebraic Approach to Microlocalization of Filtered Rings
• Intersection theory on non-commutative surfaces
• Des catégories abéliennes
• Noncommutative instantons and twistor transform
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