The quantum site of a schematic algebra

DOI10.1080/00927879608825562zbMath0847.16025OpenAlexW2027472399MaRDI QIDQ4868176

Freddy M. J. van Oystaeyen, Luc Willaert

Publication date: 4 September 1996

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

Full work available at URL: https://doi.org/10.1080/00927879608825562

zbMATH Keywords

graded modulesgraded ringsRees ringsfiltered algebraspresheavesfirst Weyl algebraOre setsfiltered modulesGrothendieck topologyquantum sectionsfinitely generated by homogeneous elementsgraded completionsmicro-localisationsOre localisationsquantum sites

Mathematics Subject Classification ID

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)

Cites Work

• Faisceaux algébriques cohérents
• The diamond lemma for ring theory
• Extension of certain modules over the first Weyl algebra
• Noncommutative projective schemes
• A microstructure sheaf and quantum sections over a projective scheme
• Quantum sections and gauge algebras
• Examples in non-commutative projective geometry

This page was built for publication: The quantum site of a schematic algebra