Noetherian PI rings not module-finite over any commutative subring
Author:
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
Link
http://www.ams.org/proc/1982-084-04/S0002-9939-1982-0643729-1/S0002-9939-1982-0643729-1.pdf
Reference13 articles.
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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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