On generalized partial twisted smash products

Shuangjian Guo

Czechoslovak Mathematical Journal (2014)

  • Volume: 64, Issue: 3, page 767-782
  • ISSN: 0011-4642

Abstract

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We first introduce the notion of a right generalized partial smash product and explore some properties of such partial smash product, and consider some examples. Furthermore, we introduce the notion of a generalized partial twisted smash product and discuss a necessary condition under which such partial smash product forms a Hopf algebra. Based on these notions and properties, we construct a Morita context for partial coactions of a co-Frobenius Hopf algebra.

How to cite

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Guo, Shuangjian. "On generalized partial twisted smash products." Czechoslovak Mathematical Journal 64.3 (2014): 767-782. <http://eudml.org/doc/262133>.

@article{Guo2014,
abstract = {We first introduce the notion of a right generalized partial smash product and explore some properties of such partial smash product, and consider some examples. Furthermore, we introduce the notion of a generalized partial twisted smash product and discuss a necessary condition under which such partial smash product forms a Hopf algebra. Based on these notions and properties, we construct a Morita context for partial coactions of a co-Frobenius Hopf algebra.},
author = {Guo, Shuangjian},
journal = {Czechoslovak Mathematical Journal},
keywords = {partial bicomodule algebra; partial twisted smash product; partial bicoinvariant; Morita context; Hopf algebras; partial bicomodule algebras; generalized partial smash products; partial twisted smash products; partial bicoinvariants; Morita contexts; partial actions; partial coactions; partial Hopf actions; partial Hopf coactions; partial entwining structures},
language = {eng},
number = {3},
pages = {767-782},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On generalized partial twisted smash products},
url = {http://eudml.org/doc/262133},
volume = {64},
year = {2014},
}

TY - JOUR
AU - Guo, Shuangjian
TI - On generalized partial twisted smash products
JO - Czechoslovak Mathematical Journal
PY - 2014
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 64
IS - 3
SP - 767
EP - 782
AB - We first introduce the notion of a right generalized partial smash product and explore some properties of such partial smash product, and consider some examples. Furthermore, we introduce the notion of a generalized partial twisted smash product and discuss a necessary condition under which such partial smash product forms a Hopf algebra. Based on these notions and properties, we construct a Morita context for partial coactions of a co-Frobenius Hopf algebra.
LA - eng
KW - partial bicomodule algebra; partial twisted smash product; partial bicoinvariant; Morita context; Hopf algebras; partial bicomodule algebras; generalized partial smash products; partial twisted smash products; partial bicoinvariants; Morita contexts; partial actions; partial coactions; partial Hopf actions; partial Hopf coactions; partial entwining structures
UR - http://eudml.org/doc/262133
ER -

References

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  3. Alves, M. M. S., Batista, E., Partial Hopf actions, partial invariants and a Morita context, Algebra Discrete Math. 2009 (2009), 1-19. (2009) Zbl1199.16059MR2640384
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  7. Dokuchaev, M., Ferrero, M., Paques, A., 10.1016/j.jpaa.2005.11.009, J. Pure Appl. Algebra 208 (2007), 77-87. (2007) Zbl1142.13005MR2269829DOI10.1016/j.jpaa.2005.11.009
  8. Exel, R., 10.1006/jfan.1994.1073, J. Funct. Anal. 122 (1994), 361-401. (1994) MR1276163DOI10.1006/jfan.1994.1073
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