Akbar Paad

Department of Mathematics, University of Bojnord, P.O.Box 9453155111, Bojnord, Iran.

[ 1 ] - On semi maximal filters in BL-algebras

In this paper, first we study the semi maximal filters in linear $BL$-algebras and we prove that any semi maximal filter is a primary filter. Then, we investigate the radical of semi maximal filters in $BL$-algebras. Moreover, we determine the relationship between this filters and other types of filters in $BL$-algebras and G"{o} del algebra. Specially, we prove that in a G"{o}del algebra, any ...

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