FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2001, VOLUME 7, NUMBER 1, PAGES 257-266
V. V. Shchigolev
Abstract
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In this paper some analogs of the Gr\"obner base for T-ideals
are considered.
A sequence of normal monomials of the T-ideal
$T_2^{(3)}$ is built so that the monomials are
independent w.r.t.\ the operation of monotonous substitution and
the insertion operation. Also a theorem is proved stating
that for algebras without $1$ a multilinear identity of the form
$w_1[x_1,x_2]w_2$ , where $x_1$ , $x_2$ are variables and $w_1$ , $w_2$
are monomials, belongs to every T-ideal that is finitely
based w.r.t.\ the inclusion relation of the leading monomials.
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Last modified: May 10, 2001