FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1997, VOLUME 3, NUMBER 2, PAGES 373-397

**On some algorithmic problems and free products in
$R$-varieties of linear $$W-algebras**

M. M. Glukhov

Abstract

View as HTML
View as gif image
View as LaTeX source

```
A new method for investigation of linear $\Omega$-algebras
is suggest. This method based on the original definition of partial
linear $\Omega$-algebra. The method is effective for varieties
with analog of Evans's embedding theorem. In the present paper a family
of such varieties is defined. For these varieties the positive solution
of wordproblem and subalgebraproblem is obtained and the theory of free
algebras and free products of algebras is developed. In particular
results of this paper generalise some known results of other
authors.
```

All articles are
published in Russian.

Location: http://mech.math.msu.su/~fpm/eng/97/972/97204t.htm

Last modified: January 13, 2000