Ideally finite Leibniz algebras

L. A. Kurdachenko, I. Ya. Subbotin

Abstract


The aim of this paper is to consider Leibniz algebras, whose principal ideals are finite dimensional. We prove that the derived ideal of \(L\) has finite dimension if every principal ideal of a Leibniz algebra \(L\) has dimension at most \(b\), where \(b\) is a fixed positive integer.


Keywords


Leibniz algebra, ideally finite algebras, Lie algebra, breadth of elements

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DOI: http://dx.doi.org/10.12958/adm2139

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