Research output: Contribution to journal › Comment/debate › peer-review
Correction to : Degenerations of Zinbiel and nilpotent Leibniz algebras (Linear and Multilinear Algebra, (2018), 66, 4, (704-716), 10.1080/03081087.2017.1319457). / Kaygorodov, Ivan; Popov, Yury; Pozhidaev et al.
In: Linear and Multilinear Algebra, Vol. 70, No. 5, 2022, p. 993-995.Research output: Contribution to journal › Comment/debate › peer-review
}
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 -
ID: 24164515