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On varieties of associative rings II

✍ Scribed by I. V. L'vov

Publisher: Springer US
Year: 1973
Tongue: English
Weight: 729 KB
Volume: 12
Category: Article
ISSN: 0002-5232
DOI: 10.1007/bf02218730

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An associative ring R can be viewed as a semigroup via a • b = a + b + ab, and as a Lie ring via [a, b] = abba. It is known that the Lie ring [R] is nilpotent if and only if the adjoint semigroup (R, •) is nilpotent (in the sense defined by Mal'cev or by Neumann and Taylor). We prove a similar resul