Geodesic
Combinatorial generators of the multilinear polynomial identities
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 2, pp. 101-110

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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 2 and the same property for the three-linear commutator are established. 
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     author = {V. N. Latyshev},
     title = {Combinatorial generators of the multilinear polynomial identities},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
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     publisher = {mathdoc},
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     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2006_12_2_a6/}
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V. N. Latyshev. Combinatorial generators of the multilinear polynomial identities. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 2, pp. 101-110. http://geodesic.mathdoc.fr/item/FPM_2006_12_2_a6/