Semi-integral filters and semi-integral BL-algebras
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512.64+514.7+517.2 (1)
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MOTAMED, Somayeh. Semi-integral filters and semi-integral BL-algebras. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2018, vol. 86, nr. 1(86), pp. 12-23. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Volumul 86, Numărul 1(86) / 2018 / ISSN 1024-7696 /ISSNe 2587-4322

Semi-integral filters and semi-integral BL-algebras

CZU: 512.64+514.7+517.2
MSC 2010: 03B47, 03G25, 06D99.

Pag. 12-23

Motamed Somayeh
 
Islamic Azad University of Bandar Abbas
 
Disponibil în IBN: 26 iulie 2018


Rezumat

In this paper, we introduced the concepts of semi-integral filters and semiintegral BL-algebras. With respect to these concepts, we give some related results. In particular, we give some relations among semi-integral BL-algebras, integral BLalgebras 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.

Cuvinte-cheie
(Semi-integral) BL-algebra, (Semi-integral, Primary, Prime) filter.