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Fundamentalnaya i Prikladnaya Matematika, 2006, Volume 12, Issue 2, Pages 101–110
(Mi fpm937)
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This article is cited in 8 scientific papers (total in 8 papers)
Combinatorial generators of the multilinear polynomial identities
V. N. Latyshev M. V. Lomonosov Moscow State University
Abstract:
A Gröbner–Shirshov basis (a combinatorial system of generators) is defined in the set of multilinear elements of a T-ideal of the free associative algebra with a countable set of indeterminates. A combinatorial version of the well-known Specht problem about the finite basedness of polynomial identities of an arbitrary associative algebra is formulated. A “combinatorial Spechtness” property of the multilinear product of commutators of degree 2 and the same property for the three-linear commutator are established.
Citation:
V. N. Latyshev, “Combinatorial generators of the multilinear polynomial identities”, Fundam. Prikl. Mat., 12:2 (2006), 101–110; J. Math. Sci., 149:2 (2008), 1107–1112
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https://www.mathnet.ru/eng/fpm937 https://www.mathnet.ru/eng/fpm/v12/i2/p101
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Abstract page: | 432 | Full-text PDF : | 168 | References: | 58 | First page: | 1 |
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