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We give a coring version for the duality theorem for actions and coactions of a finitely generated projective Hopf algebra. We also provide a coring analogue for a theorem of H.-J....
We propose a class of innite comatrix corings, and describe them as colimits of systems of usual comatrix corings. The innite comatrix corings of El Kaoutit and Gomez Torrecillas...
Nuclei which are defined over a class of frames are called nuclear typings. There is the dual notion of a spatial selector, and the relationship between nuclear typings and spatial...
cal Abstract Algebraic Logic: Leibniz Equality and Homomorphism Theorems George Voutsadakis Received: 24 May 2006 / Accepted: 28 August 2006 / Published online: 25 October 2006
Abstract. Categories of lax (T, V )-algebras are shown to have pullbackstable coproducts if T preserves inverse images. The general result not only gives a common proof of this pro...
Mojgan Mahmoudi, Christoph Schubert, Walter Tholen
We have introduced, in a previous paper, the fundamental lax 2-category of a `directed space' X. Here we show that, when X has a T1-topology, this structure can be embedded i...
Prime objects were defined as generalization of simple objects in the categories of rings (modules). In this paper we introduce and investigate what turns out to be a suitable gen...