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On power-associative algebras having a nil-basis. (Russian) Zbl 0582.17001
The author extends results of I. P. Shestakov [ibid. 10, 87-99 (1971; Zbl 0224.17001)] by proving the following: Let A be a finite- dimensional power-associative algebra over a field of characteristic \(\neq 2\), 3, 5. If A has a nil-basis, then A is a nil-algebra.
Reviewer: H.F.Smith

MSC:
17A05 Power-associative rings
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