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Algebras with a Diagonable Subspace whose Centralizer Satisfies a Polynomial Identity

Published online by Cambridge University Press:  20 November 2018

E. G. Goodaire
E. G. Goodaire*
Affiliation:
Memorial University of Newfoundland, St. John's, Newfoundland
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Abstract

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The literature concerning rings with polynomial identity contains several theorems in which the existence of a polynomial identity on a subring implies the existence of such an identity on the ring itself. Belluce and Jain showed in 1968 that a prime ring will satisfy a polynomial identity provided it contains a right ideal with zero left annihilator which satisfies a polynomial identity [2].

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 29 , Issue 2 , 01 April 1977 , pp. 277 - 283
Copyright
Copyright © Canadian Mathematical Society 1977

References

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