18 citations · 53 across the 22 of their papers we have counts for
8 papers · 1 filter
Generators for comonoids and universal constructions
Adnan Abdulwahid, Miodrag C Iovanov
We investigate cofree coalgebras, and limits and colimits of coalgebras in some abelian monoidal categories of interest, such as bimodules over a ring, and modules and comodules ov…
The Bijectivity of the Antipode Revisited
Miodrag C. Iovanov, Serban Raianu
We provide a very short approach to several fundamental results for Hopf algebras with nonzero integrals. Besides being short, our approach is the first to prove the bijectivity of…
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…
Abstract integrals in algebra: coalgebras, Hopf algebras and compact groups
Miodrag C. Iovanov
We generalize the results on existence and uniqueness of integrals from compact groups and Hopf algebras in a pure (co)algebraic setting, and find a series of new results on (quasi…
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…
Generalized Frobenius Algebras and the Theory of Hopf Algebras
Miodrag C. Iovanov
"Co-Frobenius" coalgebras were introduced as dualizations of Frobenius algebras. Recently, it was shown in \cite{I} that they admit left-right symmetric characterizations analogue…