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Right hereditary affine PI rings are left hereditary

Published online by Cambridge University Press:  18 May 2009

Ellen Kirkman  and
James Kuzmanovich
Ellen Kirkman
Affiliation:
Wake Forest University, P.O. Box 7311, Reynolda Station, Winston-Salem, N.C. 27109 U.S.A.
James Kuzmanovich
Affiliation:
Wake Forest University, P.O. Box 7311, Reynolda Station, Winston-Salem, N.C. 27109 U.S.A.
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Small [11] gave the first example of a right hereditary PI ring which is not left hereditary. Robson and Small [9] proved that a prime PI right hereditary ring is a classical order over a Dedekind domain, and hence is Noetherian (and therefore left hereditary). The authors have shown [4] that a right hereditary semiprime PI ring which is finitely generated over its center is left hereditary. In this paper we consider right hereditary PI rings T which are affine (i.e. finitely generated as an algebra over a central subfield k).

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 30 , Issue 1 , January 1988 , pp. 115 - 120
Copyright
Copyright © Glasgow Mathematical Journal Trust 1988

References

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