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ACS
2008
13 years 9 months ago
Mal'cev Conditions Revisited
Dominique Bourn, Jirí Rosický
ACS
2008
13 years 10 months ago
A Zariski Topology for Bicomodules and Corings
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...
Jawad Y. Abuhlail
ACS
2008
13 years 11 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 11 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 11 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 11 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
ACS
2008
13 years 11 months ago
The Fusion Algebra of Bimodule Categories
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...
Jürgen Fuchs, Ingo Runkel, Christoph Schweige...
ACS
2008
13 years 11 months ago
Fundamental Constructions for Coalgebras, Corings, and Comodules
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...
Hans-E. Porst