Unified products for Zinbiel 2-algebras

Ling Zhang; Tao Zhang

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Unified products for Zinbiel 2-algebras

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arxiv 2202.09220 v2 pith:XS2KRRBY submitted 2022-02-16 math.RA math.CT

Unified products for Zinbiel 2-algebras

Ling Zhang , Tao Zhang This is my paper

classification math.RA math.CT

keywords algebraszinbielproductsunifiedextendingproblemsomecases

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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.

Unified products for Zinbiel 2-algebras

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