Maschke Type Theorems for Weak Hopf Quasigroups

Autor:	J. M. Fernández Vilaboa, J. N. Alonso Álvarez, R. González Rodríguez
Rok vydání:	2020
Předmět:	Pure mathematics Algebra and Number Theory Applied Mathematics Mathematics::Rings and Algebras Weak Hopf algebra Type (model theory) Hopf algebra Magma (computer algebra system) Comodule Mathematics::Quantum Algebra computer Quasigroup Mathematics computer.programming_language
Zdroj:	Algebra Colloquium. 27:213-230
ISSN:	0219-1733 1005-3867
DOI:	10.1142/s1005386720000188
Popis:	In this paper we give necessary and sufficient conditions for a comodule magma over a weak Hopf quasigroup to have a total integral, thus extending the theories developed in the Hopf algebra, weak Hopf algebra and non-associative Hopf algebra contexts. From this result we also deduce a version of Maschke’s theorems for right (H, B)-Hopf triples associated to a weak Hopf quasigroup H and a right H-comodule magma B.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5e46423063691449a3bb0a8badb0c662 https://doi.org/10.1142/s1005386720000188 Zobrazit plný text záznamu