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Unified products for Zinbiel 2-algebras

Published 16 Feb 2022 in math.RA and math.CT | (2202.09220v2)

Abstract: The extending structures problem for Zinbiel 2-algebras is studied. We introduce the concept of unified products for Zinbiel 2-algebras. Some special cases of unified products such as crossed product and matched pair of Zinbiel 2-algebras are investigated. It is proved that the extending problem for Zinbiel 2-algebras can be classified by some non-abelian cohomology theory.

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