Some properties of state filters in state residuated lattices

We consider properties of state filters of state residuated lattices and prove that for every state filter $F$ of a state residuated lattice $X$: \begin{itemize} \item[(1)] $F$ is obstinate $\Leftrightarrow$ $L/F \cong\{0,1\}$; \item[(2)] $F$ is primary $\Leftrightarrow$ $L/F$ is a state local resid...

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Autor principal: Michiro Kondo
Formato: article
Lenguaje:EN
Publicado: Institute of Mathematics of the Czech Academy of Science 2021
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Acceso en línea:https://doaj.org/article/2167157825114defba317ef667f1ffaa
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