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 language | English |
|---|---|
| Pages (from-to) | 795-802 |
| Number of pages | 8 |
| Journal | Communications in Algebra |
| Volume | 19 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jan 1991 |