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On Leibniz Algebras whose Subalgebras are Either Ideals or Self-Idealizing Subalgebras

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A subalgebra S of a Leibniz algebra L is called self-idealizing in L if it coincides with its idealizer IL(S). We study the structure of Leibniz algebras whose subalgebras are either ideals or self-idealizing subalgebras.

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Correspondence to O. O. Pypka.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, No. 6, pp. 811–826, June, 2021. Ukrainian DOI: 10.37863/umzh.v73i6.6688.

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Kurdachenko, I.A., Pypka, O.O. & Subbotin, I.Y. On Leibniz Algebras whose Subalgebras are Either Ideals or Self-Idealizing Subalgebras. Ukr Math J 73, 944–962 (2021). https://doi.org/10.1007/s11253-021-01969-0

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  • DOI: https://doi.org/10.1007/s11253-021-01969-0

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