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On varieties of associative rings II

โœ Scribed by I. V. L'vov


Publisher
Springer US
Year
1973
Tongue
English
Weight
729 KB
Volume
12
Category
Article
ISSN
0002-5232

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๐Ÿ“œ SIMILAR VOLUMES


Engel varieties of associative rings and
โœ David M. Riley ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 114 KB

An associative ring R can be viewed as a semigroup via a โ€ข 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, โ€ข) is nilpotent (in the sense defined by Mal'cev or by Neumann and Taylor). We prove a similar resul