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Polynomial Ideals in Group Rings

Published online by Cambridge University Press:  20 November 2018

M. M. Parmenter ,
I. B. S. Passi  and
S. K. Sehgal
M. M. Parmenter
Affiliation:
University of Alberta, Edmonton, Alberta
I. B. S. Passi
Affiliation:
University of Alberta, Edmonton, Alberta
S. K. Sehgal
Affiliation:
University of Kurukshetra, Kurukshetra, India
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Letf(x1, x2, … , xn) be a polynomial in n non-commuting variables x1, x2, … , xn and their inverses with coefficients in the ring Z of integers, i.e. an element of the integral group ring of the free group on X1, x2, … , xn. Let R be a commutative ring with unity, G a multiplicative group and R(G) the group ring of G with coefficients in R.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 25 , Issue 6 , December 1973 , pp. 1174 - 1182
Copyright
Copyright © Canadian Mathematical Society 1973

References

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