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arXiv:math/0012164 [math.QA]AbstractReferencesReviewsResources

Bialgebroids, $\times_{A}$-bialgebras and duality

Tomasz Brzezinski, Gigel Militaru

Published 2000-12-18, updated 2001-11-07Version 2

An equivalence between Lu's bialgebroids, Xu's bialgebroids with an anchor and Takeuchi's $\times_{A}$-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.

Comments: 16 pages, LaTeX; more concise presentation; Theorem 4.1 improved; final version to appear in J. Algebra
Categories: math.QA, math.RA
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