Graded p.i. Rings and nonccmmutative projective schemes

DOI10.1080/00927878108822570zbMath0455.16006OpenAlexW2082297056MaRDI QIDQ3903134

Alain Verschoren, Freddy M. J. van Oystaeyen

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1080/00927878108822570

zbMATH Keywords

graded rings of quotientsprojective schemepositively graded left Noetherian ringgraded prime left P.I. ring

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Graded rings and modules (associative rings and algebras) (16W50) Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50) Schemes and morphisms (14A15) Homological methods in associative algebras (16Exx) Rings with polynomial identity (16Rxx)

Related Items (14)

Relatively Noetherian rings, localization and sheaves. I: The relative second layer condition ⋮ Relatively Noetherian rings, localization and sheaves. II: Structure sheaves ⋮ Extensions and localization ⋮ On the left spectrum of a ring ⋮ On the Brauer group of a projective variety ⋮ On the Brauer group of a projective curve ⋮ Associative rings ⋮ On noncommutative Noetherian schemes. ⋮ Noncommutative space from dynamical noncommutative geometries ⋮ On brauer groups of arithmetical graded rings ⋮ A duality theorem for orders in central simple algebras over function fields ⋮ On the seminormalization of noncommutative affine curves ⋮ Derivations of PI-algebras and smoothness of noncommutative curves ⋮ Strongly normalizing extensions

Cites Work

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• Integral ring homomorphisms
• Integral extensions of rings satisfying a polynomial identity
• On Azumaya algebras and finite dimensional representations of rings
• The torsion theory at a prime ideal of a right Noetherian ring
• On graded rings and modules of quotients
• Zariski central rings
• Localization and the gabriel-popescu embedding
• Relative localization; bimodules and semiprime P.I. rings
• A Version of Zariski's Main Theorem for Polynomial Identity Rings
• Rings and modules of quotients

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