I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2006, VOLUME 12, NUMBER 2, PAGES 101-110
V. N. Latyshev
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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
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Last modified: June 17, 2006