TY - JOUR

T1 - Correction to

T2 - Degenerations of Zinbiel and nilpotent Leibniz algebras (Linear and Multilinear Algebra, (2018), 66, 4, (704-716), 10.1080/03081087.2017.1319457)

AU - Kaygorodov, Ivan

AU - Popov, Yury

AU - Pozhidaev, null

AU - Volkov, Yury

N1 - Funding Information: 17A32 14D06 14L30 Russian Science Foundation 10.13039/501100006769 119-71-10016 The work is supported by the Russian Science Foundation [grant number 119-71-10016]. Publisher Copyright: © 2020 Informa UK Limited, trading as Taylor & Francis Group.

PY - 2022

Y1 - 2022

N2 - It was noted in Demir et al. [On classification of four-dimensional nilpotent Leibniz algebras. Comm Algebra. 2017;45(3):1012–1018]; Ismailov et al. [Degenerations of Leibniz and anticommutative algebras. Canad Math Bull. 2019;62(3):539–549] that there is a 4-dimensional nilpotent Leibniz algebra that is not included in the classification obtained in Albeverio et al. [Classification of 4-dimensional nilpotent complex Leibniz algebras. Extracta Math. 2006;21(3):197–210]. The construction of the graph of degenerations (see Kaygorodov et al. Degenerations of Zinbiel and nilpotent Leibniz algebras. Linear Multilinear Algebra. 2018;66(4):704–716) is based on the classification of Albeverio et al. [Classification of 4-dimensional nilpotent complex Leibniz algebras. Extracta Math. 2006;21(3):197–210] and for this reason, this graph does not contain the mentioned algebra. This omission and some other small inaccuracies are corrected in the present corrigendum.

AB - It was noted in Demir et al. [On classification of four-dimensional nilpotent Leibniz algebras. Comm Algebra. 2017;45(3):1012–1018]; Ismailov et al. [Degenerations of Leibniz and anticommutative algebras. Canad Math Bull. 2019;62(3):539–549] that there is a 4-dimensional nilpotent Leibniz algebra that is not included in the classification obtained in Albeverio et al. [Classification of 4-dimensional nilpotent complex Leibniz algebras. Extracta Math. 2006;21(3):197–210]. The construction of the graph of degenerations (see Kaygorodov et al. Degenerations of Zinbiel and nilpotent Leibniz algebras. Linear Multilinear Algebra. 2018;66(4):704–716) is based on the classification of Albeverio et al. [Classification of 4-dimensional nilpotent complex Leibniz algebras. Extracta Math. 2006;21(3):197–210] and for this reason, this graph does not contain the mentioned algebra. This omission and some other small inaccuracies are corrected in the present corrigendum.

KW - degeneration

KW - Leibniz algebra

KW - nilpotent algebra

KW - Zinbiel algebra

UR - http://www.scopus.com/inward/record.url?scp=85083554308&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/fb3aa912-d21b-3835-92de-6a3ab714dd82/

U2 - 10.1080/03081087.2020.1749543

DO - 10.1080/03081087.2020.1749543

M3 - Comment/debate

AN - SCOPUS:85083554308

VL - 70

SP - 993

EP - 995

JO - Linear and Multilinear Algebra

JF - Linear and Multilinear Algebra

SN - 0308-1087

IS - 5

ER -