The affine scheme associated to a non-Noetherian prime PI algebra

DOI10.1007/BF02772674zbMath0603.16014MaRDI QIDQ1082403

Alain Verschoren

Publication date: 1986

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

extensionsstructure sheafaffine prime polynomial identity algebrabimodule localizationnon-noetherian algebras

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Localization and associative Noetherian rings (16P50) Generalizations (algebraic spaces, stacks) (14A20) Rings with polynomial identity (16Rxx) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (2)

Extensions and localization ⋮ Rings and sheaves

Cites Work

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• Non-commutative algebraic geometry. An introduction
• Prime spectra in non-commutative algebra
• Noncommutative localization and sheaves
• The quotient category of a Morita context
• On Azumaya algebras and finite dimensional representations of rings
• The radical in a finitely generated P. I. algebra
• Relative localization; bimodules and semiprime P.I. rings
• Rings and modules of quotients

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