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Hom-Lie Admissible Hom-coalgebras and Hom-Hopf Algebras

Makhlouf, Abdenacer and Silvestrov, Sergei LU (2007) In Preprints in Mathematical Sciences
Abstract
The aim of this paper is to generalize the concept of Lie-admissible coalgebra introduced by Goze and Remm to Hom-coalgebras and to introduce Hom-Hopf algebras with some properties. These structures are based on the Hom-algebra structures introduced by the authors.
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
unpublished
subject
keywords
Hom-bialgebras, Hom-Lie algebras, Hom-coalgebras, Hom-associative algebras, Lie admissible hom-Lie algebras, Hom-Hopf algebras
in
Preprints in Mathematical Sciences
issue
25
pages
13 pages
publisher
Lund University
external identifiers
  • other:LUTFMA-5091-2007/1-13/(2007)
ISSN
1403-9338
project
Non-commutative Analysis of Dynamics, Fractals and Wavelets
Non-commutative Geometry in Mathematics and Physics
language
English
LU publication?
yes
id
c1d76720-22ad-41e7-9435-dc527a19f5eb (old id 959996)
alternative location
http://arxiv.org/abs/0709.2413
date added to LUP
2016-04-04 09:34:25
date last changed
2018-11-21 20:54:05
@article{c1d76720-22ad-41e7-9435-dc527a19f5eb,
  abstract     = {{The aim of this paper is to generalize the concept of Lie-admissible coalgebra introduced by Goze and Remm to Hom-coalgebras and to introduce Hom-Hopf algebras with some properties. These structures are based on the Hom-algebra structures introduced by the authors.}},
  author       = {{Makhlouf, Abdenacer and Silvestrov, Sergei}},
  issn         = {{1403-9338}},
  keywords     = {{Hom-bialgebras; Hom-Lie algebras; Hom-coalgebras; Hom-associative algebras; Lie admissible hom-Lie algebras; Hom-Hopf algebras}},
  language     = {{eng}},
  number       = {{25}},
  publisher    = {{Lund University}},
  series       = {{Preprints in Mathematical Sciences}},
  title        = {{Hom-Lie Admissible Hom-coalgebras and Hom-Hopf Algebras}},
  url          = {{http://arxiv.org/abs/0709.2413}},
  year         = {{2007}},
}