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Matched pairs of $m$ -invertible Hopf quasigroups

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Author(s): M. Hassanzadeh , S. Sütlü

Publication date Created: 17 October 2019

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Abstract

The matched pair theory (of groups) is studied for a class of quasigroups; namely, the $m$ -inverse property loops. The theory is upgraded to the Hopf level, and the " $m$ -invertible Hopf quasigroups" are introduced.

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Most cited references 21

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The structure of Hopf algebras with a projection

David E Radford (1985)

0 comments Cited 125 times – based on 0 reviews      Review now

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Poisson Lie groups, dressing transformations, and Bruhat decompositions

Jiang-Hua Lu, Alan WEINSTEIN (1990)

0 comments Cited 124 times – based on 0 reviews      Review now

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Physics for algebraists: Non-commutative and non-cocommutative Hopf algebras by a bicrossproduct construction

Shahn Majid (1990)

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Author and article information

Journal

Publication date Created: 17 October 2019

Article

ArXiV ID: 1910.07906

SO-VID: 2406f4fe-4bb4-4c6d-9af3-bea7f079f656

License:

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

History

Custom metadata

ACM classes 20N05, 16T05, 57T05, 16S40

Categories math.RA

ScienceOpen disciplines: Algebra

Data availability:

ScienceOpen disciplines: Algebra

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