Concepedia

PRIME ALTERNATIVE SUPERALGEBRAS AND NILPOTENCE OF THE RADICAL OF A FREE ALTERNATIVE ALGEBRA

Efim Zelmanov, I. P. Shestakov

Mathematics of the USSR-Izvestiya · 1991 · 52 citations · 9 references

DOI

Concepts

Abstract

A classification is given of the prime alternative superalgebras. It is shown that the radical of a free alternative algebra over a field of zero characteristic is nilpotent.

References

9

Subalgebras of free colored Lie superalgebras

Mathematical Notes · 1985 · 40 citations

, , +6

Nucleus and center in alternative rings

M Slater · Journal of Algebra · 1967 · 31 citations

, , +3

On free alternative rings

Margaret M. Humm, Erwin Kleinfeld · Journal of Combinatorial Theory · 1967 · 28 citations

, , +4

Nilpotent ideals of Mal'tsev algebras

V. T. Filippov · Algebra and Logic · 1979 · 25 citations

, , +3

Radicals and nilpotent elements of free alternative algebras

I. P. Shestakov · Algebra and Logic · 1975 · 22 citations

, , +9