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Unique factorization rings

Published online by Cambridge University Press:  24 October 2008

C. R. Fletcher
C. R. Fletcher
Affiliation:
University College of Wales, Aberystwyth
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Extract

1. The concept of a unique factorization domain (UFD) has been defined, for commutative (e.g. (4) page 21) and non-commutative (1) integral domains. We take the theory a stage further here by defining a unique factorization ring (UFR), where throughout, a ring is understood to mean a commutative ring with identity, possibly containing proper zero-divisors.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 65 , Issue 3 , May 1969 , pp. 579 - 583
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

REFERENCES

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