Finitely generated P.I. rings of global dimension two

DOI10.1006/jabr.1994.1298zbMath0816.16026OpenAlexW2076930201MaRDI QIDQ1337442

Charudatta R. Hajarnavis, Amiram Braun

Publication date: 4 December 1994

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

Full work available at URL: https://doi.org/10.1006/jabr.1994.1298

zbMATH Keywords

finitely generated modulescenterpolynomial identitiesDedekind domainsKrull domainslow global dimensionprime and affine over a central subfieldprime, noetherian, affine P.I. ringssemiprime noetherian rings

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Homological dimension in associative algebras (16E10) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20) Centralizing and normalizing extensions (16S20)

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A structure theorem for Noetherian P. I. rings with global dimension two