2010/05/14 by Tomasz Brzeziński, Brzeziński, Tomasz, Zhengming Jiao +1
Engineering · Mathematics · #16T05 #16T15 #Advanced Combinatorial Mathematics #FOS: Mathematics #Mathematics and Applications #Quantum Algebra (math.QA) #graph theory and CDMA systems #math.QA #msc:16T05 #msc:16T15
paper · pdf · doi:10.48550/arxiv.1005.2496
16 pages
arxiv created 2010/05/14 · openalex publication_date 2010/05/14 · arxiv updated 2010/05/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Definitions of actions of Hopf quasigroups are discussed in the context of Long dimodules and smash products. In particular, Long dimodules are defined for Hopf quasigroups and coquasigroups, and solutions to Militaru's D-equation are constructed. A necessary compatibility condition between action and multiplication of a Hopf quasigroup acting on its quasimodule Hopf quasigroup for a smash product construction is derived.