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ACS
2007
13 years 7 months ago
Yoneda Structures from 2-toposes
A 2-categorical generalisation of the notion of elementary topos is provided, and some of the properties of the yoneda structure [SW78] it generates are explored. Results enabling ...
Mark Weber
ACS
2007
13 years 7 months ago
Boolean Topological Distributive Lattices and Canonical Extensions
Brian A. Davey, Miroslav Haviar, Hilary A. Priestl...
ACS
2007
13 years 7 months ago
Patch-generated Frames and Projectable Hulls
This article considers coherent frame homomorphisms h : L −→ M between coherent frames, which induce an isomorphism between the boolen frames of polars, with M projectable, and...
Anthony W. Hager, Jorge Martínez
ACS
2008
13 years 7 months ago
Epicompletion in Frames with Skeletal Maps, I: Compact Regular Frames
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...
Jorge Martínez, Eric Richard Zenk
ACS
2008
13 years 7 months ago
A Priestley Sum of Finite Trees is Acyclic
We show that the Priestley sum of finite trees contains no cyclic finite poset.
Richard N. Ball, Ales Pultr, Jirí Sichler
ACS
2008
13 years 7 months ago
On Non-M-Cosingular Completely (+)-Supplemented Modules
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(...
Derya Keskin Tütüncü
ACS
2008
13 years 7 months ago
Covering Coalgebras and Dual Non-singularity
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...
Christian Lomp, Virgínia Rodrigues