Connection between varieties of groups and varieties of Lie rings
β Scribed by Yu. V. Kuz'min; M. Z. Shapiro
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1988
- Tongue
- English
- Weight
- 184 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0037-4466
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A finitely generated algebra A in a variety V V is called finitely determined in V V if there exists a finite V V-consistent set of equalities and inequalities in an alphabet containing the generating set of A, which, together with the identities of V V , yields all relations and non-relations of A.
In this paper we deΓΏne an inΓΏnite family of varieties of algebraic quasigroups, where for m ΒΏ 3 the variety Vm satisΓΏes a particular set of deΓΏning identities Im. It is shown that the ΓΏnite members of Vm are precisely the quasigroups that can be obtained via a standard construction from certain deco