4 citations · 11 across the 7 of their papers we have counts for
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When weak Hopf algebras are Frobenius
Miodrag C. Iovanov, Lars Kadison
We investigate when a weak Hopf algebra H is Frobenius; we show this is not always true, but it is true if the semisimple base algebra A has all its matrix blocks of the same dimen…
The antipode of a dual quasi-Hopf algebra with nonzero integrals is bijective
Margaret Beattie, Miodrag Cristian Iovanov, Serban Raianu
For a Hopf algebra of arbitrary dimension over a field , it is well-known that if has nonzero integrals, or, in other words, if the coalgebra is co-Frobenius, then t…
Frobenius Extensions of Corings
Miodrag C. Iovanov
Let $\Cc$ and $\Dd$ be two corings over a ring and $\Cc\stackrelλ{\longrightarrow}\Dd$ be a morphism of corings. We investigate the situation when the associated induced ("core…
Cofrobenius Coalgebra
Miodrag-Cristian Iovanov
We investigate left and right co-Frobenius coalgebras and give equivalent characterizations which prove statements dual to the characterizations of Frobenius algebras. We prove tha…