Localization in Noetherian P.I. rings as a finite criterion

DOI10.1007/BF02766170zbMath0638.16010MaRDI QIDQ1099232

Amiram Braun

Publication date: 1987

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

zbMATH Keywords

primesmaximal idealtrace ringCayley-Hamilton polynomialsOre localizabilityprime Noetherian affine P.I. ringprime Noetherian P.I. ring

Mathematics Subject Classification ID

Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50) Rings with polynomial identity (16Rxx)

Cites Work

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• Affine Noetherian PI-rings have enough clans
• An additivity principle for p.i. rings
• Localization in prime Noetherian P.I. rings
• Symmetry and localization in Noetherian prime PI rings
• Prime ideals in PI-rings
• Integral ring homomorphisms
• Localisation and completions of Noetherian PI algebras
• Integral extensions of rings satisfying a polynomial identity
• Finite extensions are integral
• On the characteristic polynomial of a sum of matrices

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