Abstract: N. Vonessen, "Prime ideals in intermediate integral centralizing extensions of PI-algebras"

Nikolaus Vonessen, Prime Ideals in Intermediate Integral Centralizing Extensions of PI-Algebras, Comm. Algebra 19 (1991), 795-802.

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.