Homology of multiplicative Lie rings

被引：19
作者：
Bak, A.
Donadze, G.
Inassaridze, N.
Ladra, M.
机构：
[1] Univ Bielefeld, Dept Math, D-33501 Bielefeld, Germany
[2] Georgian Acad Sci, A Razmadze Math Inst, GE-0193 Tbilisi, Georgia
[3] Univ Santiago de Compostela, Fac Matemat, Dept Algebra, Santiago De Compostela 15782, Spain
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2007年 / 208卷 / 02期
关键词：
D O I：
10.1016/j.jpaa.2006.03.029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Two homology theories of multiplicative Lie rings are constructed, studied and compared with the usual homology theories of groups and Lie rings. Central extensions of multiplicative Lie rings are introduced. It is shown that the Steinberg multiplicative Lie ring of a ring is the direct product of the Steinberg group (viewed as a multiplicative Lie ring under the commutator bracket) and the Steinberg Lie ring. (c) 2006 Published by Elsevier B.V.
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收藏
页码：761 / 777
页数：17
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