Geodesic
Polynomial Ideals in Group Rings
Canadian journal of mathematics, Tome 25 (1973) no. 6, pp. 1174-1182

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
Parmenter, M. M.; Passi, I. B. S.; Sehgal, S. K. Polynomial Ideals in Group Rings. Canadian journal of mathematics, Tome 25 (1973) no. 6, pp. 1174-1182. doi: 10.4153/CJM-1973-127-4
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[1] 1. Connell, I. G., On the group ring, Can. J. Math. 15 (1963), 650–685. Google Scholar

[2] 2. Hartley, B., The residual nilpotence of wreath products, Proc. London Math. Soc. 20 (1970), 365–392. Google Scholar

[3] 3. Losey, G., On group algebras of p-groups, Michigan Math. J. 7 (1960), 237–240. Google Scholar

[4] 4. Mital, J. N., On residual nilpotence, J. London Math. Soc. 2 (1970), 337–345. Google Scholar

[5] 5. Parmenter, M. M., On a theorem of Bovdi, Can. J. Math. 23 (1971), 929–932. Google Scholar

[6] 6. Passi, I. B. S., Polynomial maps on groups, J. Algebra 9 (1968), 121–151. Google Scholar

[7] 7. Sandling, R., The modular group rings of p-groups, Ph.D. Thesis, University of Chicago, 1969. Google Scholar

[8] 8. Sehgal, S. K., Lie properties in group algebras, Proceedings of the conference on “Orders, Group Rings and Related Topics”, Ohio State University, 1972, Springer-Verlag (to appear). Google Scholar

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