Twisted polynomial rings satisfying a polynomial identity

DOI10.1016/0021-8693(85)90148-6zbMath0558.16001OpenAlexW2092465565MaRDI QIDQ762585

Jay Shapiro, Robert F. Damiano

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90148-6

zbMATH Keywords

automorphismendomorphismsprime radicalnoetherian ringclansFBN ringfinite normalizing extensionlocalization of twisted polynomial ringsPI ringtwisted polynomial rings

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50) Rings with polynomial identity (16Rxx) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items

Simple modules and their essential extensions for skew polynomial rings, Polynomes tordus et t-anneaux a, Polynomes tordus a identite polynomiale, Ore extensions which are GPI-rings., Connected Hopf algebras and iterated Ore extensions., Localization in Ore extensions of commutative Noetherian rings, Catenarity and Gelfand-Kirillov dimension in Ore extensions, ORE EXTENSIONS SATISFYING A POLYNOMIAL IDENTITY, Locally finite representations over Noetherian Hopf algebras

Cites Work

• Normalizing extensions: Prime ideals and incomparability
• On the global dimension of skew polynomial rings
• Left principal ideal rings
• Hereditary Noetherian prime rings
• On consequences of stability
• Polynomial Modules Over Macaulay Modules
• R-sequences in fully bounded noetherian rings
• Localization at a Torsion Theory in Hereditary Noetherian Rings
• Krull dimension
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