Year: 2018
Type: preprint
Abstract: Firstly, we introduce a class of new algebraic systems which generalize Hopf quasigroups and Hopf $π-$algebras called $Q$-graded Hopf quasigroups, and research some properties of them. Secondly, we define the representations of $Q$-graded Hopf quasigroups, i.e $Q$-graded Hopf quasimodules, research the construction method and fundamental theorem of them. Thirdly, we research the smash products of $Q$-graded Hopf quasigroups.
Source: arXiv (Cornell University)
Authors: Shi, Guodong, Wang, Shuanhong
Institution: Southeast University
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2903696333