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A Remark on the Primeness of Mersenne Numbers

✍ Scribed by Hall, J. S.


Book ID
120099400
Publisher
Oxford University Press
Year
1953
Tongue
English
Weight
89 KB
Volume
s1-28
Category
Article
ISSN
0024-6107

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