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.
Предметные области OECD FOS+WOS
- 1.01 МАТЕМАТИКА