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Zinbiel 2-algebras

Published 18 Apr 2021 in math.RA | (2104.12551v2)

Abstract: The notions of Zinbiel 2-algebras and 2-term $Z_{\infty}$-algebras are introduced. It is proved that the category of Zinbiel 2-algebras and the category of $2$-term $Z_{\infty}$-algebras are equivalent to each other. Crossed module extensions of Zinbiel algebras are studied. Relationship between Zinbiel 2-algebras and dendriform 2-algebras are found.

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Authors (1)

  1. Tao Zhang 

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