HOM-BIALGEBRAS AND COMODULE HOM-ALGEBRAS

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International Electronic Journal of Algebra
Volume:8 Issue:8
HOM-BIALGEBRAS AND COMODULE HOM-ALGEBRAS

HOM-BIALGEBRAS AND COMODULE HOM-ALGEBRAS

Authors : Donald Yau

Pages : 45-64

View : 14 | Download : 12

Publication Date : 2010-12-01

Article Type : Research Paper

Abstract :We study Hom-bialgebras and objects admitting coactions by Hom-bialgebras. In particular, we construct a Hom-bialgebra Minsert ignore into journalissuearticles values(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 Minsert ignore into journalissuearticles values(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

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