AbstractIn this paper we study dual coalgebras of algebras over arbitrary (Noetherian) commutative rings. We present and study a generalized notion of coreflexive comodules and use the results obtained for them to characterize the so called coreflexive coalgebras. Our approach in this note is an algebraically topological one
We introduce the notion of a partial corepresentation of a given Hopf algebra H over a coalgebra C a...
AbstractThe category of Hopf monoids over an arbitrary symmetric monoidal category as well as its su...
AbstractThe notion of an endofunctor having “greatest subcoalgebras” is introduced as a form of comp...
summary:It is shown that the categories of $R$-coalgebras for a commutative unital ring $R$ and the ...
AbstractIn this article we defined and studied quasi-finite comodules, the cohom functors for coalge...
AbstractWe show that coalgebras whose lattice of right coideals is distributive are coproducts of co...
AbstractIn virtue of some highly generalized Tannaka–Krein-type reconstruction theorems, it is natur...
AbstractThis paper explicitly constructs cofree coalgebras over operads in the category of DG-module...
AbstractFor coalgebras over fields, there is a well-known construction which gives the cofree coalge...
AbstractEveryone knows that the cofree coalgebra exists ‘on general principles’. As far as construct...
AbstractWe show how coalgebras can be presented by operations and equations. This is a special case ...
AbstractLet A be an algebra over a commutative ring R. If R is noetherian and A° is pure in RA, then...
AbstractWe consider left coflat monomorphisms of coalgebras, and establish a 1-1 correspondence betw...
We show how coalgebras can be presented by operations and equations. This is a special case of Linto...
AbstractGiven a K-coalgebra C and an injective left C-comodule E, we construct a coalgebra CE and fu...
We introduce the notion of a partial corepresentation of a given Hopf algebra H over a coalgebra C a...
AbstractThe category of Hopf monoids over an arbitrary symmetric monoidal category as well as its su...
AbstractThe notion of an endofunctor having “greatest subcoalgebras” is introduced as a form of comp...
summary:It is shown that the categories of $R$-coalgebras for a commutative unital ring $R$ and the ...
AbstractIn this article we defined and studied quasi-finite comodules, the cohom functors for coalge...
AbstractWe show that coalgebras whose lattice of right coideals is distributive are coproducts of co...
AbstractIn virtue of some highly generalized Tannaka–Krein-type reconstruction theorems, it is natur...
AbstractThis paper explicitly constructs cofree coalgebras over operads in the category of DG-module...
AbstractFor coalgebras over fields, there is a well-known construction which gives the cofree coalge...
AbstractEveryone knows that the cofree coalgebra exists ‘on general principles’. As far as construct...
AbstractWe show how coalgebras can be presented by operations and equations. This is a special case ...
AbstractLet A be an algebra over a commutative ring R. If R is noetherian and A° is pure in RA, then...
AbstractWe consider left coflat monomorphisms of coalgebras, and establish a 1-1 correspondence betw...
We show how coalgebras can be presented by operations and equations. This is a special case of Linto...
AbstractGiven a K-coalgebra C and an injective left C-comodule E, we construct a coalgebra CE and fu...
We introduce the notion of a partial corepresentation of a given Hopf algebra H over a coalgebra C a...
AbstractThe category of Hopf monoids over an arbitrary symmetric monoidal category as well as its su...
AbstractThe notion of an endofunctor having “greatest subcoalgebras” is introduced as a form of comp...
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