Hostname: page-component-586b7cd67f-rcrh6 Total loading time: 0 Render date: 2024-11-26T07:48:14.464Z Has data issue: false hasContentIssue false

The Cohn localization of the free group ring

Published online by Cambridge University Press:  24 October 2008

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

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
Copyright
Copyright © Cambridge Philosophical Society 1992

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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), 2949.CrossRefGoogle Scholar
[4]Farber, M.. Hermitian forms on link modules. Comment. Math. Helv. 66 (1991), 189236.Google Scholar
[5]Lewin, J.. Fields of fractions for group algebras of free groups. Trans. Amer. Math. Soc. 192 (1974), 339346.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), 499505.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. 376389.Google Scholar
[9]Vogel, P.. On the obstruction group in homology surgery. Inst. Hautes Études Sci. Publ. Math. 55 (1982), 165206.CrossRefGoogle Scholar