2000/12/18 by Tomasz Brzeziński, Tomasz Brzezinski, G. Militaru +3
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #math.QA #math.RA
paper · pdf · doi:10.48550/arxiv.math/0012164
16 pages, LaTeX; more concise presentation; Theorem 4.1 improved; final version to appear in J. Algebra
openalex publication_date 2000/12/18 · arxiv created 2001/11/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
An equivalence between Lu's bialgebroids, Xu's bialgebroids with an anchor and Takeuchi's ×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.