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Fundamentalnaya i Prikladnaya Matematika, 2012, Volume 17, Issue 5, Pages 75–85
(Mi fpm1435)
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This article is cited in 1 scientific paper (total in 1 paper)
Finiteness of the standard basis of a $T$-ideal containing Lie nilpotency of index $4$
V. N. Latyshev M. V. Lomonosov Moscow State University
Abstract:
Recently the author presented a notion of standard basis for a $T$-ideal of the free associative algebra over a field of zero characteristic. It was proved that it is finite if the $T$-ideal contains either Lie nilpotency of index $3$ or a multilinear product of commutators of degree $2$. Here we prove the finiteness of the reduced standard basis of any $T$-ideal containing Lie nilpotency of index $4$.
Citation:
V. N. Latyshev, “Finiteness of the standard basis of a $T$-ideal containing Lie nilpotency of index $4$”, Fundam. Prikl. Mat., 17:5 (2012), 75–85; J. Math. Sci., 193:4 (2013), 530–536
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https://www.mathnet.ru/eng/fpm1435 https://www.mathnet.ru/eng/fpm/v17/i5/p75
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Abstract page: | 1326 | Full-text PDF : | 138 | References: | 46 | First page: | 2 |
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