Geodesic
Semi-integral filters and semi-integral $BL$-algebras
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2018), pp. 12-23

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In this paper, we introduced the concepts of semi-integral filters and semi-integral $BL$-algebras. With respect to these concepts, we give some related results. In particular, we give some relations among semi-integral $BL$-algebras, integral $BL$-algebras and local $BL$-algebra. Also, we give some relations among semi-integral filters and other types of filters in $BL$-algebras, such as prime, maximal, primary, perfect, normal, positive implicative and obstinate filters. 
@article{BASM_2018_1_a1,
     author = {Somayeh Motamed},
     title = {Semi-integral filters and semi-integral $BL$-algebras},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {12--23},
     publisher = {mathdoc},
     number = {1},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2018_1_a1/}
}
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Somayeh Motamed. Semi-integral filters and semi-integral $BL$-algebras. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2018), pp. 12-23. http://geodesic.mathdoc.fr/item/BASM_2018_1_a1/