Noetherian PI rings not module-finite over any commutative subring

Sarraillé, J. J.

doi:10.1090/S0002-9939-1982-0643729-1

Noetherian PI rings not module-finite over any commutative subring
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by J. J. Sarraillé

Proc. Amer. Math. Soc. 84 (1982), 457-463

DOI: https://doi.org/10.1090/S0002-9939-1982-0643729-1

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Abstract:

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

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