The determinability of compacts by lattices of ideals and congruences of semirings of continuous [0, 1]-valued functions on them |
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| Authors: | E M Vechtomov E N Lubyagina |
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| Institution: | 1.Vyatka State University of Humanities,Kirov,Russia |
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| Abstract: | We consider an idempotent semiring of continuous 0, 1]-valued functions defined on a compact X with the usual multiplication and addition max. We prove the determinability of X by the lattice of ideals and the lattice of congruences of the indicated semiring. |
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