- International Electronic Journal of Algebra
- Vol: 8 Issue: 8
- HOM-BIALGEBRAS AND COMODULE HOM-ALGEBRAS
HOM-BIALGEBRAS AND COMODULE HOM-ALGEBRAS
Authors : Donald Yau
Pages : 45-64
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Publication Date : 2010-12-01
Article Type : Other
Abstract :We study Hom-bialgebras and objects admitting coactions by Hom-bialgebras. In particular, we construct a Hom-bialgebra M(2) representing the functor of 2 × 2-matrices on Hom-associative algebras. Then we construct a Hom-algebra analogue of the affine plane and show that it is a comodule Hom-algebra over M(2) in a suitable sense. It is also shown that the enveloping Hom-associative algebra of a Hom-Lie algebra is naturally a Hom-bialgebra.Keywords : Hom-bialgebras, comodule Hom-algebras, affine plane