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Bounded and invariant elements in 2-firs

Published online by Cambridge University Press:  24 October 2008

A. J. Bowtell  and
P. M. Cohn
A. J. Bowtell
Affiliation:
Westfield College and Bedford College, University of London
P. M. Cohn
Affiliation:
Westfield College and Bedford College, University of London
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Extract

1. Introduction. In a principal ideal domain R, any two-sided ideal is of the form Rc = cR, i.e. it has an invariant element as generator, and the customary development of ideal theory in a principal ideal domain (cf. e.g. (10), ch. III) takes on a more transparent form when expressed in terms of invariant elements. Likewise, the one-sided bounded ideals may be studied in terms of their generators.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 69 , Issue 1 , January 1971 , pp. 1 - 12
Copyright
Copyright © Cambridge Philosophical Society 1971

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References

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