Cobraided smash product Hom-Hopf algebras

Tianshui Ma; Haiying Li; Tao Yang

Colloquium Mathematicae (2014)

  • Volume: 134, Issue: 1, page 75-92
  • ISSN: 0010-1354

Abstract

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Let (A,α) and (B,β) be two Hom-Hopf algebras. We construct a new class of Hom-Hopf algebras: R-smash products ( A R B , α β ) . Moreover, necessary and sufficient conditions for ( A R B , α β ) to be a cobraided Hom-Hopf algebra are given.

How to cite

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Tianshui Ma, Haiying Li, and Tao Yang. "Cobraided smash product Hom-Hopf algebras." Colloquium Mathematicae 134.1 (2014): 75-92. <http://eudml.org/doc/283997>.

@article{TianshuiMa2014,
abstract = {Let (A,α) and (B,β) be two Hom-Hopf algebras. We construct a new class of Hom-Hopf algebras: R-smash products $(A ♮_\{R\} B,α ⊗ β)$. Moreover, necessary and sufficient conditions for $(A ♮_\{R\} B,α ⊗ β)$ to be a cobraided Hom-Hopf algebra are given.},
author = {Tianshui Ma, Haiying Li, Tao Yang},
journal = {Colloquium Mathematicae},
keywords = {Hom-Hopf algebras; smash products},
language = {eng},
number = {1},
pages = {75-92},
title = {Cobraided smash product Hom-Hopf algebras},
url = {http://eudml.org/doc/283997},
volume = {134},
year = {2014},
}

TY - JOUR
AU - Tianshui Ma
AU - Haiying Li
AU - Tao Yang
TI - Cobraided smash product Hom-Hopf algebras
JO - Colloquium Mathematicae
PY - 2014
VL - 134
IS - 1
SP - 75
EP - 92
AB - Let (A,α) and (B,β) be two Hom-Hopf algebras. We construct a new class of Hom-Hopf algebras: R-smash products $(A ♮_{R} B,α ⊗ β)$. Moreover, necessary and sufficient conditions for $(A ♮_{R} B,α ⊗ β)$ to be a cobraided Hom-Hopf algebra are given.
LA - eng
KW - Hom-Hopf algebras; smash products
UR - http://eudml.org/doc/283997
ER -

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