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math.QA2000
Bialgebroids, -bialgebras and duality
Tomasz Brzezinski, Gigel Militaru
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 c…
math.RA2000
Frobenius and Mashke type Theorems for Doi-Hopf modules and entwined modules revisited: a unified approach
Tomasz Brzezinski, S. Caenepeel, G. Militaru +1
We study when induction functors (and their adjoints) between categories of Doi-Hopf modules and, more generally, entwined modules are separable, resp. Frobenius. We present a unif…