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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2018, Number 1, Pages 12–23
(Mi basm464)
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Semi-integral filters and semi-integral $BL$-algebras
Somayeh Motamed Department of Mathematics, Bandar Abbas Branch, Islamic Azad University, Bandar Abbas, Iran
Abstract:
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.
Keywords and phrases:
(semi-integral) $BL$-algebra, (semi-integral, primary, prime) filter.
Received: 01.02.2017
Citation:
Somayeh Motamed, “Semi-integral filters and semi-integral $BL$-algebras”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2018, no. 1, 12–23
Linking options:
https://www.mathnet.ru/eng/basm464 https://www.mathnet.ru/eng/basm/y2018/i1/p12
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Abstract page: | 121 | Full-text PDF : | 68 | References: | 15 |
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