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The unitary closure property of the prime varieties of associative algebras

✍ Scribed by L. M. Samoĭlov


Publisher
SP MAIK Nauka/Interperiodica
Year
2010
Tongue
English
Weight
214 KB
Volume
51
Category
Article
ISSN
0037-4466

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📜 SIMILAR VOLUMES


Engel varieties of associative rings and
✍ David M. Riley 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 114 KB

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