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Extending structures for Zinbiel algebras

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arxiv 2203.15692 v3 pith:L2YUYEB2 submitted 2022-03-09 math.RA

Extending structures for Zinbiel algebras

Tao Zhang , Ling Zhang This is my paper
classification math.RA
keywords algebrasextendingstructureszinbielproductssomeunifiedcases
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The extending structures and unified products for Zinbiel algebras are developed. Some special cases of unified products such as crossed products and matched pair of Zinbiel algebras are studied. It is proved that the extending structures can be classified by some non-abelian cohomology theory. One dimensional flag extending structures of Zinbiel algebras are also investigated.

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