Panov's theorem for weak Hopf algebras

Panov proved necessary and sufficient conditions to extend the Hopf algebra structure of an algebra R to an Ore extension R[x; sigma, delta] with x being a skew-primitive element. In this paper we extend Panov's result to Ore extensions over weak Hopf algebras. As an application we study Ore extensions of connected groupoid algebras.

Country

Portugal

Related Organizations

Universidade Lusófona do Porto
Portugal

Keywords

Algebra, Mathematics, Álgebra, Matemática, Ciências exactas e naturais::Matemática, Natural sciences::Mathematics

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

0

Average

Green

Funded by

FCT| Centre for Mathematics of the University of Porto