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Nil-algebras and infinite groups

✍ Scribed by L. Hammoudi


Publisher
Springer US
Year
2007
Tongue
English
Weight
160 KB
Volume
144
Category
Article
ISSN
1573-8795

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Let R = denote the group of units of an associative algebra R over an infinite field F. We prove that if R is unitarily generated by its nilpotent elements, then R = satisfies a group identity precisely when R satisfies a nonmatrix polynomial identity. As an application, we examine the group algebra