I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2001, VOLUME 7, NUMBER 3, PAGES 849-871
S. V. Pchelintsev
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The work is devoted to clarify the structure of weak identities
of central-metabelian alternative Grassmann algebras over a field
[[x1, x2], x3]
n = 4k+2, 4k+3;
gn := [x1, x2]R(x3) ... R(xn-2) [xn-1, xn], n = 4k, 4k+3.
It is proved that for any infinitie system of nonzero weak identity
there is number
As consequence the variety of alternative algebras with unit over
a field of characteristic
It is proved also, that the class of weak identities of a rather high degree coinside with the class of mufang functions.
All articles are published in Russian.
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Last modified: December 23, 2001