Unified products for Zinbiel 2-algebras
Ling Zhang, Tao Zhang
TL;DR
This paper introduces unified products for Zinbiel 2-algebras, providing a framework to classify their extensions using non-abelian cohomology, and explores special cases like crossed products and matched pairs.
Contribution
It develops the concept of unified products for Zinbiel 2-algebras and links the extension problem to non-abelian cohomology, advancing the structural understanding of these algebras.
Findings
Unified products for Zinbiel 2-algebras are introduced.
Extension classification is achieved via non-abelian cohomology.
Special cases like crossed products and matched pairs are analyzed.
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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Taxonomy
TopicsAdvanced Topics in Algebra · Rings, Modules, and Algebras · Homotopy and Cohomology in Algebraic Topology