Geodesic
Finite combinatorial generation of metabelian $T$-ideal
Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 1, pp. 145-163 
V. N. Latyshev. Finite combinatorial generation of metabelian $T$-ideal. Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 1, pp. 145-163. http://geodesic.mathdoc.fr/item/FPM_2016_21_1_a12/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this work, we develop our idea on the construction of a system of combinatorial generators in a $T$-ideal of a free associative algebra, which is a full analogy of a Gröbner–Shirshov basis in a polynomial ideal. We prove a theorem on multilinear monomials that enables us to establish the existence of a finite set of combinatorial generators in a metabelian $T$-ideal.

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