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HOM-BIALGEBRAS AND COMODULE HOM-ALGEBRAS

Year 2010, Volume: 8 Issue: 8, 45 - 64, 01.12.2010

Donald Yau

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

Year 2010, Volume: 8 Issue: 8, 45 - 64, 01.12.2010

Donald Yau

Abstract

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Other ID JA79JY54ST
Journal Section Articles
Authors

Donald Yau This is me

Publication Date December 1, 2010
Published in Issue Year 2010 Volume: 8 Issue: 8

Cite

APA Yau, D. (2010). HOM-BIALGEBRAS AND COMODULE HOM-ALGEBRAS. International Electronic Journal of Algebra, 8(8), 45-64.
AMA Yau D. HOM-BIALGEBRAS AND COMODULE HOM-ALGEBRAS. IEJA. December 2010;8(8):45-64.
Chicago Yau, Donald. “HOM-BIALGEBRAS AND COMODULE HOM-ALGEBRAS”. International Electronic Journal of Algebra 8, no. 8 (December 2010): 45-64.
EndNote Yau D (December 1, 2010) HOM-BIALGEBRAS AND COMODULE HOM-ALGEBRAS. International Electronic Journal of Algebra 8 8 45–64.
IEEE D. Yau, “HOM-BIALGEBRAS AND COMODULE HOM-ALGEBRAS”, IEJA, vol. 8, no. 8, pp. 45–64, 2010.
ISNAD Yau, Donald. “HOM-BIALGEBRAS AND COMODULE HOM-ALGEBRAS”. International Electronic Journal of Algebra 8/8 (December 2010), 45-64.
JAMA Yau D. HOM-BIALGEBRAS AND COMODULE HOM-ALGEBRAS. IEJA. 2010;8:45–64.
MLA Yau, Donald. “HOM-BIALGEBRAS AND COMODULE HOM-ALGEBRAS”. International Electronic Journal of Algebra, vol. 8, no. 8, 2010, pp. 45-64.
Vancouver Yau D. HOM-BIALGEBRAS AND COMODULE HOM-ALGEBRAS. IEJA. 2010;8(8):45-64.