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.
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页码：243 / 254
页数：12
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