Bialgebroids, $\times_{A}$-bialgebras and duality
Quantum Algebra
2007-05-23 v2 Rings and Algebras
Abstract
An equivalence between Lu's bialgebroids, Xu's bialgebroids with an anchor and Takeuchi's -bialgebras is explicitly proven. A new class of examples of bialgebroids is constructed. A (formal) dual of a bialgebroid, termed bicoalgebroid, is defined. A weak Hopf algebra is shown to be an example of such a bicoalgebroid.
Cite
@article{arxiv.math/0012164,
title = {Bialgebroids, $\times_{A}$-bialgebras and duality},
author = {Tomasz Brzezinski and Gigel Militaru},
journal= {arXiv preprint arXiv:math/0012164},
year = {2007}
}
Comments
16 pages, LaTeX; more concise presentation; Theorem 4.1 improved; final version to appear in J. Algebra