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On derivations of pseudo-BL algebra
2022We know that Pseudo-BL algebras are a natural generalization of BL-algebras and of pseudo-MV algebras. In this paper, the notions of five different types of derivations on a pseudo-BL algebra as generalizations of derivations of a BL-algebra are introduced.
Rahnama, S. +3 more
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2006
A generalized BL-algebra (or GBL-algebra for short) is a residuated lattice that satisfies the identities x boolean AND y = ((x boolean AND y)/y)y = y(y\(x boolean AND y)). It is shown that all finite GBL-algebras are commutative, hence they can be constructed by iterating ordinal sums and direct products of Wajsberg hoops.
JIPSEN P., MONTAGNA F.
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A generalized BL-algebra (or GBL-algebra for short) is a residuated lattice that satisfies the identities x boolean AND y = ((x boolean AND y)/y)y = y(y\(x boolean AND y)). It is shown that all finite GBL-algebras are commutative, hence they can be constructed by iterating ordinal sums and direct products of Wajsberg hoops.
JIPSEN P., MONTAGNA F.
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Fuzzy Sets and Systems, 2016
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Zahiri, O., Borzooei, R. A.
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Zahiri, O., Borzooei, R. A.
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BL-algebras defined by an operator
2022Summary: In this paper, Sheffer stroke BL-algebra and its properties are investigated. It is shown that a Cartesian product of two Sheffer stroke BL-algebras is a Sheffer stroke BL-algebra. After describing a filter of Sheffer stroke BL-algebra, a congruence relation on a Sheffer stroke BL-algebra is defined via its filter, and quotient of a Sheffer ...
Katican, Tugce +2 more
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Fuzzy Sets and Systems, 2020
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Busaniche, Manuela +1 more
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Busaniche, Manuela +1 more
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2014
In this paper, we introduce the notion of multiplier in ܤܮ -algebra and study relationships between multipliers and some special mappings, likeness closure operators, homomorphisms and (,ڀሻ -derivations in ܤܮ -algebras. We introduce the concept of idempotent multipliers in BL-algebra and weak congruence and obtain an interconnection between idempotent ...
Tayebi Khorami, R., Borumand Saeid, A.
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In this paper, we introduce the notion of multiplier in ܤܮ -algebra and study relationships between multipliers and some special mappings, likeness closure operators, homomorphisms and (,ڀሻ -derivations in ܤܮ -algebras. We introduce the concept of idempotent multipliers in BL-algebra and weak congruence and obtain an interconnection between idempotent ...
Tayebi Khorami, R., Borumand Saeid, A.
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Soft Computing, 2007
The paper continues the work started by \textit{M. Haveshki, A. Borumand Saeid} and \textit{E. Eslami} [Soft Comput. 10, No.~8, 657--664 (2006); erratum ibid. 11, No.~2, 209 (2007; Zbl 1103.03062)] on various kinds of filters in BL-algebras, namely on (positive) implicative and fantastic filters.
Kondo, Michiro, Dudek, Wiesław A.
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The paper continues the work started by \textit{M. Haveshki, A. Borumand Saeid} and \textit{E. Eslami} [Soft Comput. 10, No.~8, 657--664 (2006); erratum ibid. 11, No.~2, 209 (2007; Zbl 1103.03062)] on various kinds of filters in BL-algebras, namely on (positive) implicative and fantastic filters.
Kondo, Michiro, Dudek, Wiesław A.
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Noetherian and Artinian BL-algebras
Soft Computing, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Motamed, Somayeh, Moghaderi, Javad
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Stabilizers on Sheffer stroke BL-algebras
2022Summary: In this study, new properties of various filters on a Sheffer stroke BL-algebra are studied. Then some new results in filters of Sheffer stroke BL-algebras are given. Also, stabilizers of nonempty subsets of Sheffer stroke BL-algebras are defined and some properties are examined.
Oner, Tahsin +2 more
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Varieties of BL-algebras I, revisited
Soft Computing, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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