Article ID Journal Published Year Pages File Type
4597703 Journal of Pure and Applied Algebra 2007 17 Pages PDF
Abstract

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.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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