18 citations · 53 across the 22 of their papers we have counts for
5 papers · 1 filter
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…
The finite Rat-splitting for coalgebras
Miodrag Cristian Iovanov
Let be a coalgebra. We investigate the problem of when the rational part of every finitely generated -module is a direct summand . We show that such a coalgebra mus…
Cofrobenius Corings and adjoint Functors
M. Iovanov, J. Vercruysse
We study co-Frobenius and more generally Quasi-co-Frobenius corings over arbitrary baserings and over PF baserings in particular. We generalize some results about (Quasi-) co-Frobe…
When is the Product isomorphic to the Coproduct
Miodrag Cristian Iovanov
For a category C we investigate the problem of when the coproduct and the product functor from C^I to C are isomorphic for a fixed set I, or, equivalently, when…
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…