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Degenerations of Zinbiel and nilpotent Leibniz algebras
Ivan Kaygorodov, Yury Popov, Alexandre Pozhidaev +1
We describe degenerations of four-dimensional Zinbiel and four-dimensional nilpotent Leibniz algebras over C. In particular, we describe all irreducible components in the correspon…
Generalized derivations of multiplicative -ary Hom- color algebras
Patricia Damas Beites, Ivan Kaygorodov, Yury Popov
We generalize the results of Leger and Luks, Zhang R. and Zhang Y.; Chen, Ma, Ni, Niu, Zhou and Fan; Kaygorodov and Popov about generalized derivations of color -ary algebras to…
Degenerations of binary Lie and nilpotent Malcev algebras
Ivan Kaygorodov, Yury Popov, Yury Volkov
We describe degenerations of four-dimensional binary Lie algebras, and five- and six-dimensional nilpotent Malcev algebras over \mathbb{C}. In particular, we describe all irreducib…