THE FREIHEITSSATZ AND THE AUTOMORPHISMS OF FREE RIGHTSYMMETRIC ALGEBRAS

被引：20

作者：

Kozybaev, Daniyar ^{[1
]}

Makar-Limanov, Leonid ^{[2
,3
]}

Umirbaev, Ualbai ^{[1
]}

机构：

[1] Eurasian Natl Univ, Dept Math, Astana 010008, Kazakhstan

[2] Bar Ilan Univ, Dept Math & Comp Sci, IL-52900 Ramat Gan, Israel

[3] Wayne State Univ, Dept Math, Detroit, MI 48202 USA

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2008年 / 1卷 / 02期

关键词：

Right-symmetric algebras; Freiheitssatz; automorphisms;

D O I：

10.1142/S1793557108000230

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the Freiheitssatz for right-symmetric algebras and the decidability of the word problem for right-symmetric algebras with a single defining relation. We also prove that two generated subalgebras of free right-symmetric algebras are free and automorphisms of two generated free right-symmetric algebras are tame.

引用

页码：243 / 254

页数：12

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