This article is cited in 5 papers

The Magnus embedding for right-symmetric algebras

D. Kh. Kozybaev, U. U. Umirbaev

L. N. Gumilev Eurasian National University

Abstract: We construct a basis for the universal multiplicative enveloping algebra $U(A)$ of a right-symmetric algebra $A$. We prove an analog of the Magnus embedding for right-symmetric algebras; i.e., we prove that a right-symmetric algebra $A/R^2$, where $A$ is a free right-symmetric algebra, is embedded into the algebra of triangular matrices of the second order.

Keywords: right-symmetric algebra, Magnus embedding, universal enveloping algebra.

UDC: 519.48

Received: 16.06.2003

 English version: Siberian Mathematical Journal, 2004, 45:3, 488–494

Bibliographic databases:

• 
• 
•