FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1999, VOLUME 5, NUMBER 1, PAGES 47-66

A. Ya. Belov

Abstract

View as HTML
View as gif image
View as LaTeX source

```
This article is devoted to construction of infinitely based
series of identities. Such counterexamples in Specht problem are built
in any positive characteristics. The main result is the following:
```

Theorem. Let $F$ be any field of characteristic $p$ ,
$q=p^s$ , $s>1$ .
Then the polynomials $R_n$ :

$$

R_n =
[[E,T],T]\prod_{i=1}^n Q(x_i,y_i) ([T,[T,F]][[E,T],T])^{q-1}
[T,[T,F]],

$$

where $Q(x,y) = x^{p-1}y^{p-1}[x,y]$ ,
generate an infinitely based variety.

All articles are published in Russian.

Main page | Editorial board |

Instructions to authors | Contents of the journal |

Location: http://mech.math.msu.su/~fpm/eng/99/991/99103t.htm

Last modified: April 27, 1999