A general Galois theory for cofunctions and corelations
type: Item
instance of: scholarly article
title: A general Galois theory for cofunctions and corelations
zbMATH Open document ID: 1011.08008
author: Martin Rössiger
author: Reinhard Pöschel
published in: Algebra Universalis
publication date: 2003-04-23T00:00:00Z
review text: In the paper it is shown how a theory of clones of cofunctions and their corresponding invariants can be developed in full analogy to the case of ordinary algebras. The main problem was to find proper analogues for invariant corelations. An appropriate relation between sets of cofunctions and corelations is established for which the corresponding operators form a Galois connection. As an application concrete characterization problems are considered, e.g., for strong bisimulations.
reviewed by: Radomír Halaš
Mathematics Subject Classification ID: 08A70
Mathematics Subject Classification ID: 06A15
Mathematics Subject Classification ID: 68Q85
zbMATH DE Number: 1899943
zbMATH Keywords: coalgebra
zbMATH Keywords: cofunction
zbMATH Keywords: corelation
zbMATH Keywords: operation
zbMATH Keywords: relation
zbMATH Keywords: Galois theory
zbMATH Keywords: bisimulation
zbMATH Keywords: clones
MaRDI profile type: Publication
full work available at URL: s000120050163
OpenAlex ID: W2355150452
DOI: 10.1007/S000120050163
Recommended article: Cohomology of Galois extensions
Recommended article: Generalized Cohn functions on Galois rings
Recommended article: Corestriction of Galois algebras
Recommended article: Q3412711
Recommended article: Q4839645
Recommended article: A generalization of Gabriel's Galois covering functors and derived equivalences
Recommended article: Galois cohomology
Recommended article: Galois Cohomology
Recommended article: Q4369161
Recommended article: Galois groups and cohomological functors
description: scientific article; zbMATH DE number 1899943