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Bialgebroids, XA-bialgebroids and duality

Journal of Algebra (2002) 251(1) 279-294
DOI: 10.1006/jabr.2001.9101
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Abstract

An equivalence between Lu's bialgebroids, Xu's bialgebroids with an anchor, and Takeuchi's XA-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. © 2002 Elsevier Science (USA).

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Brzeziński, T., & Militaru, G. (2002). Bialgebroids, XA-bialgebroids and duality. Journal of Algebra, 251(1), 279–294. https://doi.org/10.1006/jabr.2001.9101

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