In this paper we introduce and investigate top (bi)comodules of corings, that can be considered as dual to top (bi)modules of rings. The fully coprime spectra of such (bi)comodule...
A frame homomorphism h : A - B is skeletal if x = 1 in A implies that h(x) = 1 in B. It is shown that, in KRegS, the category of compact regular frames with skeletal maps, the subc...
In this paper, it is shown that any non-M-cosingular -supplemented module M is (D3) if and only if M has the summand intersection property. Let N [M ] be any module such that Z M(...
Abstract Localisation is an important technique in ring theory and yields the construction of various rings of quotients. Colocalisation in comodule categories has been investigate...
We establish an algebra-isomorphism between the complexified Grothendieck ring F of certain bimodule categories over a modular tensor category and the endomorphism algebra of appr...
We study the various categories of corings, coalgebras, and comodules from a categorical perspective. Emphesis is given to the question which properties of these categories can be...