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ACS
2008
13 years 5 months ago
On Minimal Coalgebras
Abstract. We define an out-degree for F-coalgebras and show that the coalgebras of outdegree at most form a covariety. As a subcategory of all Fcoalgebras, this class has a termin...
H. Peter Gumm
ACS
2008
13 years 5 months ago
Group Corings
We introduce group corings, and study functors between categories of comodules over group corings, and the relationship to graded modules over graded rings. Galois group corings ar...
Stefaan Caenepeel, K. Janssen, S. H. Wang
ACS
2008
13 years 5 months ago
Subobject Transformation Systems
Abstract Subobject transformation systems (sts) are proposed as a novel formal framework for the analysis of derivations of transformation systems based on the algebraic, double-pu...
Andrea Corradini, Frank Hermann, Pawel Sobocinski
ACS
2008
13 years 5 months ago
Algebras Versus Coalgebras
Algebras and coalgebras are fundamental notions for large parts of mathematics. The basic constructions from universal algebra are now expressed in the language of categories and ...
Robert Wisbauer