HOM-BIALGEBRAS AND COMODULE HOM-ALGEBRAS

Donald Yau

EN

HOM-BIALGEBRAS AND COMODULE HOM-ALGEBRAS

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

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Donald Yau This is me

Publication Date

December 1, 2010

Submission Date

December 1, 2010

Acceptance Date

-

Published in Issue

Year 2010 Volume: 8 Number: 8

IZ

https://izlik.org/JA99TK97BS

Cite

RIS / Bibtex

APA

Yau, D. (2010). HOM-BIALGEBRAS AND COMODULE HOM-ALGEBRAS. International Electronic Journal of Algebra, 8(8), 45-64. https://izlik.org/JA99TK97BS

AMA

1.Yau D. HOM-BIALGEBRAS AND COMODULE HOM-ALGEBRAS. IEJA. 2010;8(8):45-64. https://izlik.org/JA99TK97BS

Chicago

Yau, Donald. 2010. “HOM-BIALGEBRAS AND COMODULE HOM-ALGEBRAS”. International Electronic Journal of Algebra 8 (8): 45-64. https://izlik.org/JA99TK97BS.

EndNote

Yau D (December 1, 2010) HOM-BIALGEBRAS AND COMODULE HOM-ALGEBRAS. International Electronic Journal of Algebra 8 8 45–64.

IEEE

[1]D. Yau, “HOM-BIALGEBRAS AND COMODULE HOM-ALGEBRAS”, IEJA, vol. 8, no. 8, pp. 45–64, Dec. 2010, [Online]. Available: https://izlik.org/JA99TK97BS

ISNAD

Yau, Donald. “HOM-BIALGEBRAS AND COMODULE HOM-ALGEBRAS”. International Electronic Journal of Algebra 8/8 (December 1, 2010): 45-64. https://izlik.org/JA99TK97BS.

JAMA

1.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, Dec. 2010, pp. 45-64, https://izlik.org/JA99TK97BS.

Vancouver

1.Donald Yau. HOM-BIALGEBRAS AND COMODULE HOM-ALGEBRAS. IEJA [Internet]. 2010 Dec. 1;8(8):45-64. Available from: https://izlik.org/JA99TK97BS