IMP-Filters of R0-Algebras

2010 International Conference on Computational Intelligence and Security

Year: 2010, Pages: 15-17

The notion of implication

M P

$MP$ -filters (briefly,

I M P

$IMP$ -filters) in

R_{0}

$R_0$ -algebras is introduced. The characteristic properties and extension property of

I M P

$IMP$ -filters are obtained. The relations among

I M P

$IMP$ -filters,

P I M P

$PIMP$ -filters and

N M P

$NMP$ -filters of

R_{0}

$R_0$ -algebras are established. Finally, the implicative

R_{0}

$R_0$ -algebra is completely described by its

I M P

$IMP$ -filters.

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