On Leibniz algebras with maximal cyclic subalgebras
We begin to study the structure of Leibniz algebras having maximal cyclic subalgebras.
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Vasiliy A. Chupordia, Leonid A. Kurdachenko, Igor Ya. Subbotin (2022)
Commentationes Mathematicae Universitatis Carolinae
We begin to study the structure of Leibniz algebras having maximal cyclic subalgebras.
Leonid A. Kurdachenko, Javier Otal, Igor Ya. Subbotin (2019)
Commentationes Mathematicae Universitatis Carolinae
This article discusses the Leibniz algebras whose upper hypercenter has finite codimension. It is proved that such an algebra includes a finite dimensional ideal such that the factor-algebra is hypercentral. This result is an extension to the Leibniz algebra of the corresponding result obtained earlier for Lie algebras. It is also analogous to the corresponding results obtained for groups and modules.
F. Karimi, H. Mohtadifar (2013)
Matematički Vesnik
A. M. Aghdam, F. Karimi, A. Najafizadeh (2012)
Archivum Mathematicum
In this paper we consider completely decomposable torsion-free groups and we determine the subgroups which are ideals in every ring over such groups.
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