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Factorization in Non-Commutative Power Series Rings

Published online by Cambridge University Press:  24 October 2008

P. M. Cohn
P. M. Cohn
Affiliation:
The UniversityManchester 13
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Extract

The study of the divisibility of polynomials in a single variable over a field is essentially based on the division algorithm, which may be stated as follows: (A) Given polynomials a, b such that there exist polynomials q and a1, such that† .

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 58 , Issue 3 , July 1962 , pp. 452 - 464
Copyright
Copyright © Cambridge Philosophical Society 1962

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References

REFERENCES

(1)Bourbaki, N., Groupes et algèbres de Lie. Ch. 1: Algèbres de Lie (Hermann, Paris, 1960).Google Scholar
(2)Cohn, P. M., On a generalization of the Euclidean algorithm. Proc. Cambridge Philos. Soc. 57 (1961), 18–30.CrossRefGoogle Scholar
(3)Cohn, P. M., On subsemigroups of free semigroups. Proc. American Math. Soc. 13 (1962).CrossRefGoogle Scholar
(4)Cohn, P. M., Factorization in free associative algebras (to appear).Google Scholar