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

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dc.creatorBrzezinski, Tomasz
dc.creatorMilitaru, Gigel
dc.date2000-12-18
dc.date2001-11-07
dc.date.accessioned2026-07-07T04:39:16Z
dc.date.available2026-07-07T04:39:16Z
dc.descriptionAn 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.
dc.description16 pages, LaTeX; more concise presentation; Theorem 4.1 improved; final version to appear in J. Algebra
dc.identifierhttps://arxiv.org/abs/math/0012164
dc.identifierhttp://arxiv.org/abs/math/0012164
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60593
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.titleBialgebroids, $\times_{A}$-bialgebras and duality
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