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Periodic and Nil Polynomials in Rings

Published online by Cambridge University Press:  20 November 2018

Bernardo Felzenszwalb  and
Antonino Giambruno
Bernardo Felzenszwalb
Affiliation:
Instituto de Matematica, Universidade Federal do Rio de Janeiro, C.P. 1835 ZC-00 20.000 Rio de Janeiro, R. J. Brazil
Antonino Giambruno
Affiliation:
Istituto di Matematica, Università di Palermo, Via Archirafi 34 90100 Palermo, Italy
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Let R be an associative ring and f(x1,…, xd) a polynomial in noncommuting variables. We say that f is periodic or nil in R if for all r1,…, rd ∈ R we have that f(r1,…, rd) is periodic, respectively nilpotent (recall that a ∈ R is periodic if for some integer ).

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 23 , Issue 4 , 01 December 1980 , pp. 473 - 476
Copyright
Copyright © Canadian Mathematical Society 1980

References

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