Noetherian PI rings not module-finite over any commutative subring

Author:

Sarraillé J. J.

Abstract

We construct a ring R R of 3 × 3 3 \times 3 matrices over k [ x , y , z ] k[x,y,z] which is prime, affine, Noetherian, and PI, but not finitely generated as a module nor integral over any commutative subring.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference13 articles.

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3. A note on finite ring extensions;Artin, Emil;J. Math. Soc. Japan,1951

4. Some examples in PI ring theory;Bergman, George M.;Israel J. Math.,1974

5. A note on Noetherian P.I. rings;Braun, Amiram;Proc. Amer. Math. Soc.,1981

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