Extending structures for Zinbiel algebras
Tao Zhang, Ling Zhang
TL;DR
This paper develops extending structures and unified products for Zinbiel algebras, classifies them via non-abelian cohomology, and explores special cases and one-dimensional extensions.
Contribution
It introduces a comprehensive framework for extending Zinbiel algebras, including classification methods and special case analyses.
Findings
Unified product structures for Zinbiel algebras are established.
Classification of extending structures via non-abelian cohomology.
Analysis of one-dimensional flag extending structures.
Abstract
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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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology