%0 Report %1 kerkhoff:2010-2 %A Kerkhoff, Sebastian %D 2010 %K 2010 kerkhoff preprint %N MATH-AL-02-2010 %T A general Galois theory for dual operations and dual relations %U http://www.math.tu-dresden.de/%7Ekerkhoff/publications/A%20general%20Galois%20%20theory%20for%20dual%20operations%20and%20dual%20relations%20%28Preprint%29.pdf %X We will introduce a Galois connection between dual operations and what we will call dual relations on an arbitrary object in a concrete category. In analogy to the well-known Galois connection Pol-Inv, the Galois closed sets of our introduced Galois connection are characterized by local closures of clones of dual operations and of what we will introduce as clones of dual relations.

@techreport{kerkhoff:2010-2, abstract = {We will introduce a Galois connection between dual operations and what we will call dual relations on an arbitrary object in a concrete category. In analogy to the well-known Galois connection Pol-Inv, the Galois closed sets of our introduced Galois connection are characterized by local closures of clones of dual operations and of what we will introduce as clones of dual relations.}, added-at = {2010-05-10T09:50:13.000+0200}, author = {Kerkhoff, Sebastian}, biburl = {https://www.bibsonomy.org/bibtex/25a53cb58b0a016ebf0adbb4dc85aa1ba/algebradresden}, institution = {TU Dresden, Institut für Algebra}, interhash = {04addf95cb2eb58e270a9ac456a607e2}, intrahash = {5a53cb58b0a016ebf0adbb4dc85aa1ba}, keywords = {2010 kerkhoff preprint}, number = {MATH-AL-02-2010}, timestamp = {2010-05-10T09:50:13.000+0200}, title = {A general Galois theory for dual operations and dual relations}, type = {Preprint}, url = {http://www.math.tu-dresden.de/%7Ekerkhoff/publications/A%20general%20Galois%20%20theory%20for%20dual%20operations%20and%20dual%20relations%20%28Preprint%29.pdf}, year = 2010 }