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ACS
2006
13 years 7 months ago
Duality for Finite Hopf Algebras Explained by Corings
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....
Stefaan Caenepeel, D. Quinn, S. Raianu
ACS
2005
13 years 7 months ago
Flow does not Model Flows up to Weak Dihomotopy
We prove that the category of flows cannot be the underlying category of a model category whose corresponding homotopy types are the flows up to weak dihomotopy. Some hints are giv...
Philippe Gaucher
ACS
2005
13 years 7 months ago
Limits for Lax Morphisms
We investigate limits in the 2-category of strict algebras and lax morphisms for a 2-monad. This includes both the 2-category of monoidal categories and monoidal functors as well ...
Stephen Lack
ACS
2005
13 years 7 months ago
An Operadic Approach to Internal Structures
We study internal structures in the category of algebras for an operad, and show that these themselves admit an operadic description. The main case of interest is where the operad...
Stephen Lack, Simona Paoli
ACS
2005
13 years 7 months ago
Functorial Quasi-Uniformities on Frames
Abstract: In this paper we present a unified study of functorial frame quasiuniformities by means of Weil entourages and frame congruences. In particular, we use the pointfree vers...
Maria João Ferreira, Jorge Picado