Actions of Hopf Quasigroups

DOI10.1080/00927872.2010.535588zbMath1277.16020arXiv1005.2496OpenAlexW1967498153MaRDI QIDQ2880430

Tomasz Brzeziński, Zhengming Jiao

Publication date: 13 April 2012

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.2496

zbMATH Keywords

smash productssmash coproductsLong dimodulesquasimodulesHopf quasigroupsHopf coquasigroups\(\mathcal D\)-equationquasicomodule algebrasquasicomodulesquasimodule algebras

Mathematics Subject Classification ID

Smash products of general Hopf actions (16S40) Hopf algebras and their applications (16T05) Coalgebras and comodules; corings (16T15)

Related Items (12)

Quasitriangular Hopf group-quasialgebras and generalized quantum Yang–Baxter equations ⋮ \(R\)-smash products of Hopf quasigroups. ⋮ Generalized Yetter–Drinfeld (quasi)modules and Yetter–Drinfeld–Long bi(quasi)modules for Hopf quasigroups ⋮ A new approach to braided monoidal categories ⋮ Schur–Weyl quasi-duality and (co)triangular Hopf quasigroups ⋮ MONOIDAL FUNCTORS AND EXACT SEQUENCES OF GROUPS FOR HOPF QUASIGROUPS ⋮ Double centralizer properties related to (co)triangular Hopf coquasigroups ⋮ Projections and Yetter-Drinfel'd modules over Hopf (co)quasigroups ⋮ Multiplication alteration by two-cocycles: the non-associative version ⋮ Fundamental theorems of Doi-Hopf modules in a nonassociative setting ⋮ Maschke Type Theorems for Nonassociative Hopf Algebras ⋮ Twisted Smash Products and L-R Smash Products for Biquasimodule Hopf Quasigroups

Cites Work

• Algebras, hyperalgebras, nonassociative bialgebras and loops
• Hopf quasigroups and the algebraic 7-sphere
• Semi-direct products of Hopf algebras
• The Long dimodules category and nonlinear equations
• The Brauer group of dimodule algebras

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