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Special Jordan nil algebras of bounded index

✍ Scribed by E. I. Zel'manov; V. G. Skosyrskii


Publisher
Springer US
Year
1983
Tongue
English
Weight
486 KB
Volume
22
Category
Article
ISSN
0002-5232

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Let R be an associative algebra over a field F of positive characteristic p. We address the following problem: if R is generated by nilpotent elements with bounded index, under what conditions can we conclude that R itself is nil of bounded index? We prove that whenever R satisfies the Engel conditi