Results 41 to 50 of about 174 (157)
Commutative idempotent residuated lattices [PDF]
Czechoslovak Mathematical Journal, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Folding Theory Applied to Residuated Lattices
International Journal of Mathematics and Mathematical Sciences, 2014 Residuated lattices play an important role in the study of fuzzy logic based on t-norms. In this paper, we introduce some notions of n-fold filters in residuated lattices, study the relations among them, and compare them with prime, maximal and primary ...
Albert Kadji +3 more
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Lifting Elements in Coherent Quantales [PDF]
Transactions on Fuzzy Sets and Systems, 2022 An ideal I of a ring R is a lifting ideal if the idempotents of R can be lifted modulo I. A rich literature has been dedicated to lifting ideals. Recently, new algebraic and topological results on lifting ideals have been discovered.
George Georgescu
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Quasicomplemented residuated lattices [PDF]
Soft Computing, 2020 In this paper, the class of quasicomplemented residuated lattices is introduced and investigated, as a subclass of residuated lattices in which any prime filter not containing any dense element is a minimal prime filter. The notion of disjunctive residuated lattices is introduced and it is observed that a residuated lattice is Boolean if and only if it
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Cancellative residuated lattices [PDF]
Algebra Universalis, 2003 A residuated lattice is a structure \({\mathbf L}=\langle L,\wedge ,\vee ,\cdot ,e,\backslash ,/ \rangle \) such that \(\langle L,\wedge ,\vee \rangle \) is a lattice, \(\langle L,\cdot ,e \rangle \) is a monoid and for all \(a,b,c\in L\), \(a\cdot b\leq c\)\ \ iff\ \ \(a\leq c/b\)\ \ iff\ \ \(b\leq a\backslash c\). \(\mathbf L\) is called cancellative
Bahls, P. +4 more
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Mp- and purified residuated lattices
Soft Computing, 2022 Abstract In this paper, a combination of algebraic and topological methods is applied to obtain new and structural results on mp and purified residuated lattices. It is demonstrated that mp-residuated lattices strongly tied up with the dual hull-kernel topology.
Saeed Rasouli, Amin Dehghani
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Neutrosophic Pseudo-t-Norm and Its Derived Neutrosophic Residual Implication [PDF]
Neutrosophic Sets and Systems, 2023 First of all, on the basis of complete lattice, the concept of neutrosophic pseudo-t-norm (NPT) is given. Definitions and examples of representable neutrosophic pseudo-t-norms (RNPTs) are given, while unrepresentable neutrosophic pseudo-t-norms (UNPTs ...
Hongru Bu, Qingqing Hu, Xiaohong Zhang
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Co-stone Residuated Lattices [PDF]
2010 40th IEEE International Symposium on Multiple-Valued Logic, 2010 33 ...
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Abstract residuation over lattices [PDF]
Bulletin of the American Mathematical Society, 1938 The idea of residuation goes back to Dedekind [3], † who introduced it in the theory of modules. It has since had extensive applications in the theory of algebraic modular systems [6], in the theory of ideals [8], and in certain topics of arithmetic [9]. On account of its fundamental role in several fields of modern algebra, it is desirable to consider
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