
TL;DR
This paper introduces Zinbiel 2-algebras and 2-term Z-infinity algebras, proves their categorical equivalence, studies crossed module extensions, and explores their relationship with dendriform 2-algebras.
Contribution
It establishes the equivalence between Zinbiel 2-algebras and 2-term Z-infinity algebras and investigates their extensions and connections to dendriform 2-algebras.
Findings
Category of Zinbiel 2-algebras is equivalent to 2-term Z-infinity algebras.
Crossed module extensions of Zinbiel algebras are characterized.
Relationships between Zinbiel 2-algebras and dendriform 2-algebras are identified.
Abstract
The notions of Zinbiel 2-algebras and 2-term -algebras are introduced. It is proved that the category of Zinbiel 2-algebras and the category of -term -algebras are equivalent to each other. Crossed module extensions of Zinbiel algebras are studied. Relationship between Zinbiel 2-algebras and dendriform 2-algebras are found.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Algebra and Logic · Fuzzy and Soft Set Theory · Constraint Satisfaction and Optimization
