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OPEN PROBLEM OF PSEUDO BL-ALGEBRAS

WEI WANG,KUAN-KUAN ZHAO, JIAN-CHAO XU

Uncertainty Modelling in Knowledge Engineering and Decision Making(2016)

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Abstract
We constructed the equivalent conditions of normal filter of pseudo BL-algebras, then we reveal the relation between Boolean filter and normal filter of pseudo BL-algebras, based on which, we solve an open problem that whether or not every Boolean filter is normal in pseudo BL-algebras.
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Key words
Pseudo BL-algebras, Boolean filter, normal filter
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