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The Cohn localization of the free group ring

Published online by Cambridge University Press:  24 October 2008

M. Farber  and
P. Vogel
M. Farber
Affiliation:
Department of Mathematics, Raymond and Beverly Sackler, Faculty of Exact Sciences, Tel Aviv University, Ramat-Aviv, Tel Aviv 69978, Israel
P. Vogel
Affiliation:
Department of Mathematics, University of Nantes, 2 rue de la Houssiniére, F-44072 Nantes Cedex 03, France
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Extract

In [1] P. Cohn suggested the construction of a localization of a ring with respect to a class of square matrices. Let us briefly recall the definitions.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 111 , Issue 3 , May 1992 , pp. 433 - 443
Copyright
Copyright © Cambridge Philosophical Society 1992

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References

REFERENCES

[1]Cohn, P. M.. Free Rings and their Relations (Academic Press, 1985).Google Scholar
[2]Crowell, R. H. and Fox, R. H.. Introduction to Knot Theory (Ginn and Company, 1963).Google Scholar
[3]Cappell, S. E. and Shaneson, J. L.. Link cobordism. Comment. Math. Helv. 55 (1980), 29–49.CrossRefGoogle Scholar
[4]Farber, M.. Hermitian forms on link modules. Comment. Math. Helv. 66 (1991), 189–236.Google Scholar
[5]Lewin, J.. Fields of fractions for group algebras of free groups. Trans. Amer. Math. Soc. 192 (1974), 339–346.Google Scholar
[6]Salomaa, A. and Soittola, M.. Automata-theoretic Aspects of Formal Power Series (Springer-Verlag, 1978).CrossRefGoogle Scholar
[7]Sato, N.. Free coverings and modules of boundary links. Trans. Amer. Math. Soc. 264 (1981), 499–505.CrossRefGoogle Scholar
[8]Vogel, P.. Localisation non commutative de formes quadratiques. In Algebraic K-theory, Lecture Notes in Math. vol. 967 (Springer-Verlag, 1980), pp. 376–389.Google Scholar
[9]Vogel, P.. On the obstruction group in homology surgery. Inst. Hautes Études Sci. Publ. Math. 55 (1982), 165–206.CrossRefGoogle Scholar