2015/09/04 by Daowei Lu, Lu, Daowei, Shuangjian Guo +1
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA
paper · pdf · doi:10.48550/arxiv.1509.01518
arXiv admin note: text overlap with arXiv:1405.7528
openalex publication_date 2015/09/04 · arxiv created 2020/04/07 · arxiv updated 2020/04/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let (H,\a) be a Hom-Hopf algebra and (A,\b) be a Hom-algebra. In this paper we will construct the Hom-crossed product (A#σH,\bø\a), and prove that the extension A⊆ A#σH is actually a Hom-type cleft extension and vice versa. Then we will give the necessary and sufficient conditions to make (A#σH,\bø\a) a Hom-Hopf algebra. Finally we will study the lazy 2-cocycle on (H,\a).