The injective spectrum of a noncommutative space.

DOI10.1006/jabr.2001.9114zbMath1057.16006arXivmath/0108175OpenAlexW2026243662WikidataQ122222444 ScholiaQ122222444MaRDI QIDQ1604361

Christopher J. Pappacena

Publication date: 4 July 2002

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

Full work available at URL: https://arxiv.org/abs/math/0108175

zbMATH Keywords

dimension functionsNoetherian ringsnoncommutative spacescategories of sheavesinjective spectrareduced spacesweak points

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Associative rings of functions, subdirect products, sheaves of rings (16S60) Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90)

Related Items (9)

Frobenius bimodules between noncommutative spaces. ⋮ The injective spectrum of a right Noetherian ring ⋮ Finiteness of the number of minimal atoms in Grothendieck categories ⋮ Comodules and Corings ⋮ Extension groups between atoms in abelian categories ⋮ The geometry of arithmetic noncommutative projective lines ⋮ Integrality of Noetherian Grothendieck categories ⋮ A remark on closed noncommutative subspaces ⋮ Specialization orders on atom spectra of Grothendieck categories

Cites Work

• Curves on quasi-schemes
• Residue complex for Sklyanin algebras of dimension three
• Noncommutative projective schemes
• Noncommutative local algebra
• The Gabriel dimension of a module
• Blowing up of non-commutative smooth surfaces
• Subspaces of non-commutative spaces
• Incompressible critical modules
• Intersection theory on non-commutative surfaces
• Des catégories abéliennes
• Krull dimension
• Integral non-commutative spaces.
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