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chapterNo Access
ON THE EXISTENCE OF STATES ON RESIDUATED LATTICES
- LIANZHEN LIU
Quantitative Logic and Soft Computing01 Apr 2012
Preview Abstract
The aim of this paper is to investigate the existence of states on residuated lattices. We prove that a residuated lattice L has a state if and only if L has an MV-filter. We also establish that L has a state-morphism if and only if L has a maximal MV-filter.

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