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Quotient rings, chain conditions and injective ring endomorphisms

Published online by Cambridge University Press:  18 May 2009

J. C. Wilkinson
J. C. Wilkinson
Affiliation:
8 Westenra Terrace Cashmere Christchurch 2, New Zealand
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In this paper, the situation we shall be concerned with is that of a ring R, with a ring monomorphism α: R → R, which will not be assumed to be surjective.

Much work has been done on the skew polynomial ring R[x, α] and the skew Laurent polynomial ring R[x, x-1, α], where α is an automorphism—see [3] for example. However, the fact that α is not surjective renders the study of these objects much more difficult.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 31 , Issue 2 , May 1989 , pp. 173 - 181
Copyright
Copyright © Glasgow Mathematical Journal Trust 1989

References

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