I. V. Chirkov, M. A. Shevelin, “Zero divisors in amalgamated free products of Lie algebras”, Sibirsk. Mat. Zh., 2004, Volume 45, Number 1,Pages <nobr>229

This article is cited in 2 papers

Zero divisors in amalgamated free products of Lie algebras

I. V. Chirkov, M. A. Shevelin

Omsk State University

Abstract: We introduce the notion of domain for Lie algebras, discuss when the free amalgamated Lie product of two domains is a domain again, classify commuting elements in the free amalgamated product of two Lie algebras and describe the center of this product.

Keywords: Lie algebra, free amalgamated product of Lie algebras, equation over a Lie algebra, coordinate algebra, zero divisor.

UDC: 517.55

Received: 29.04.2003