Prime Ideals in Intermediate Integral Centralizing Extensions of PI-Rings

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Abstract

In this short note, we study the behavior of prime ideals in intermediate integral centralizing extensions of PI-rings. Using this, we give a PI-theoretic proof of E. Letzter's lying over theorem for arbitrary finite extensions of right Noetherian PI-rings. Similar techniques yield also an Artin-Tate lemma for finite extensions of right Noetherian PI-algebras.

Original languageEnglish
Pages (from-to)795-802
Number of pages8
JournalCommunications in Algebra
Volume19
Issue number3
DOIs
StatePublished - Jan 1991

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