The Leibniz algebras whose subalgebras are ideals

Leonid A. Kurdachenko; Nikolai N. Semko; Igor Ya. Subbotin

Open Mathematics (2017)

  • Volume: 15, Issue: 1, page 92-100
  • ISSN: 2391-5455

Abstract

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In this paper we obtain the description of the Leibniz algebras whose subalgebras are ideals.

How to cite

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Leonid A. Kurdachenko, Nikolai N. Semko, and Igor Ya. Subbotin. "The Leibniz algebras whose subalgebras are ideals." Open Mathematics 15.1 (2017): 92-100. <http://eudml.org/doc/287994>.

@article{LeonidA2017,
abstract = {In this paper we obtain the description of the Leibniz algebras whose subalgebras are ideals.},
author = {Leonid A. Kurdachenko, Nikolai N. Semko, Igor Ya. Subbotin},
journal = {Open Mathematics},
keywords = {Leibniz algebra; Lie algebra; Cyclic subalgebra; Left center; Right center; Center of a Leibniz algebra; Nilpotent subalgebras; Abelian subalgebras; Extraspecial subalgebras; Bilinear form; cyclic subalgebra; left center; right center; center of a Leibniz algebra; nilpotent subalgebras; abelian subalgebras; extraspecial subalgebras; bilinear form},
language = {eng},
number = {1},
pages = {92-100},
title = {The Leibniz algebras whose subalgebras are ideals},
url = {http://eudml.org/doc/287994},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Leonid A. Kurdachenko
AU - Nikolai N. Semko
AU - Igor Ya. Subbotin
TI - The Leibniz algebras whose subalgebras are ideals
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 92
EP - 100
AB - In this paper we obtain the description of the Leibniz algebras whose subalgebras are ideals.
LA - eng
KW - Leibniz algebra; Lie algebra; Cyclic subalgebra; Left center; Right center; Center of a Leibniz algebra; Nilpotent subalgebras; Abelian subalgebras; Extraspecial subalgebras; Bilinear form; cyclic subalgebra; left center; right center; center of a Leibniz algebra; nilpotent subalgebras; abelian subalgebras; extraspecial subalgebras; bilinear form
UR - http://eudml.org/doc/287994
ER -

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