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» Modules Over Monads and Their Algebras
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CIE
2005
Springer
14 years 3 months ago
A Network Model of Analogue Computation over Metric Algebras
Abstract. We define a general concept of a network of analogue modules connected by channels, processing data from a metric space A, and operating with respect to a global continu...
J. V. Tucker, Jeffery I. Zucker
CORR
2010
Springer
89views Education» more  CORR 2010»
13 years 10 months ago
Involutive Categories and Monoids, with a GNS-correspondence
This paper develops the basics of the theory of involutive categories and shows that such categories provide the natural setting in which to describe involutive monoids. It is sho...
Bart Jacobs
SIAMDM
2010
111views more  SIAMDM 2010»
13 years 4 months ago
Hopf Structures on the Multiplihedra
We investigate algebraic structures that can be placed on vertices of the multiplihedra, a family of polytopes originating in the study of higher categories and homotopy theory. Mo...
Stefan Forcey, Aaron Lauve, Frank Sottile
MST
2011
207views Hardware» more  MST 2011»
13 years 4 months ago
Fixpoint Logics over Hierarchical Structures
Hierarchical graph definitions allow a modular description of graphs using modules for the specification of repeated substructures. Beside this modularity, hierarchical graph de...
Stefan Göller, Markus Lohrey
CIE
2006
Springer
13 years 11 months ago
Do Noetherian Modules Have Noetherian Basis Functions?
In Bishop-style constructive algebra it is known that if a module over a commutative ring has a Noetherian basis function, then it is Noetherian. Using countable choice we prove th...
Peter Schuster, Júlia Zappe