RO EN
About associator nilpotence of finitely generated alternative algebras of characteristic 2 or 3. (English)
Authors: N.I. Sandu
Abstract
It is proved that the free algebra of the variety of alternative commutative algebras (respectively, over a ring of characteristic 3) $\frak M$ with $n$ ($n \geq 2$) free generators is associator nilpotent of index $n - 1$ and associator solvable of index $\text{min}\{k \vert 3^k \geq 2n - 1\}$. Hence it follows that basis rank of variety $\frak M$ is infinite.State Agrarian University of Moldova
44 Mirceshti str., MD-2049 Chishinev, Moldova
44 Mirceshti str., MD-2049 Chishinev, Moldova
Contents
- Some issues in the theory of supernilpotent radicals. (English)
- Rings and properties of lattices of I-radicals. (English)
- Completed commutative group rings without zero divisors. (English)
- Dual operators generated by parabolic boundary value problems. (English)
- Codimension-one bifurcations for a Rayleigh model. (English)
- On the problem of uniqueness of determination of an Archimedean polyhedron by its vertex star. (English)
- About associator nilpotence of finitely generated alternative algebras of characteristic 2 or 3. (English)
- About limiting distributions of the sums of intermixing random vectors with restricted variances. (English)
- A generalization of the knapsack problem and finding the k-optimal tree in a weighted digraph. (English)
- Academician Mitrofan Choban -- 60 Years. (English)
