Title
Dualities Induced by Topological Semirings
Abstract
In this paper we establish a general duality theorem for compact Hausdorff spaces being recognizable over certain pairs consisting of a commutative unital topological semiring and a closed proper prime ideal. Indeed, we utilize the concept of blueprints and their localization to prove that the category of compact Hausdorff spaces generated by such a pair can be dually embedded into the category of commutative unital semirings if the pair possesses sufficiently many covering polynomials.
Year
DOI
Venue
2016
10.1007/s10485-015-9398-7
Applied Categorical Structures
Keywords
Field
DocType
Duality,Topological semiring,Blueprint,Spectrum
Topology,Discrete mathematics,Combinatorics,Commutative property,Category of topological spaces,Polynomial,Duality (mathematics),Duality (optimization),Hausdorff space,Prime ideal,Mathematics,Semiring
Journal
Volume
Issue
ISSN
24
4
0927-2852
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Sebastian Kerkhoff1225.93
Friedrich Martin Schneider274.23