2021/04/18 by Tao Zhang, Zhang, Tao
Computer Science · Decision Sciences · #17B55 #17B99 #55U15 #Advanced Algebra and Logic #Constraint Satisfaction and Optimization #FOS: Mathematics #Fuzzy and Soft Set Theory #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.2104.12551
openalex publication_date 2021/04/18 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28
The notions of Zinbiel 2-algebras and 2-term Z∞-algebras are introduced. It is proved that the category of Zinbiel 2-algebras and the category of 2-term Z∞-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.