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Communications in Algebra Volume 44, 2016 - Issue 4
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Original Articles

Uniformly Distributed Systems of Elements on Metabelian Lie Rings

E. N. PoroshenkoDepartment of Algebra and Mathematical Logic, Novosibirsk State Technical University, Novosibirsk, RussiaCorrespondence[email protected]
&
E. I. TimoshenkoDepartment of Algebra and Mathematical Logic, Novosibirsk State Technical University, Novosibirsk, Russia
Pages 1531-1547 | Received 07 Apr 2014, Published online: 02 Mar 2016
 
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Abstract

In this article, the notion of a uniformly distributed systems of elements on the variety of metabelian Lie algebras is introduced. This notion is analogous to one of a measure preserving systems of elements on group varieties. As the main result of the article, it was shown that on the variety of metabelian Lie algebras a system of elements is primitive iff it is uniformly distributed.

2010 Mathematics Subject Classification:

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