Frobenius bimodules between noncommutative spaces.

DOI10.1016/S0021-8693(03)00413-7zbMath1074.16026arXivmath/0304386MaRDI QIDQ1883035

Christopher J. Pappacena

Publication date: 1 October 2004

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

Full work available at URL: https://arxiv.org/abs/math/0304386

zbMATH Keywords

Grothendieck categoriescategories of modulesnoncommutative spacessheavesFrobenius bimodulesNoetherian schemesnoncommutative vector bundles

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Rings arising from noncommutative algebraic geometry (16S38) Associative rings of functions, subdirect products, sheaves of rings (16S60) Module categories in associative algebras (16D90) Bimodules in associative algebras (16D20)

Related Items (1)

Frobenius functors and Gorenstein flat dimensions

Cites Work

• Noncommutative projective schemes
• Noncommutative local algebra
• The structure of Frobenius algebras and separable algebras
• The injective spectrum of a noncommutative space.
• Are biseparable extensions Frobenius?
• A translation principle for the four-dimensional Sklyanin algebras
• Separability and the twisted Frobenius bimodule
• The Jones polynomial and certain separable Frobenius extensions
• Modules with decompositions that complement direct summands
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• Subspaces of non-commutative spaces
• Non-commutative $\mathbb{P}^{1}$-bundles over commutative schemes
• Frobenius functors: applications
• Doi-Hopf modules, Yetter-Drinfel’d modules and Frobenius type properties
• Points on quantum projectivizations
• Des catégories abéliennes
• Noncommutative instantons and twistor transform
• Integral non-commutative spaces.
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