Results 61 to 70 of about 1,853 (178)
The connection of hyper lattice implication algebras and related hyper algebras [PDF]
Journal of Hyperstructures, 2016 In this paper, we de ne the concepts of (good) con- gruences and strong congruences on hyper lattice implication alge- bras and use them to construct quotient hyper lattice implication algebras.
Shokoofeh Ghorbani
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Open Mathematics, 2020 In this paper, by using the ideal theory in residuated lattices, we construct the prime and maximal spectra (Zariski topology), proving that the prime and maximal spectra are compact topological spaces, and in the case of De Morgan residuated lattices ...
Holdon Liviu-Constantin
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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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Characterization of extension map on fuzzy weakly cut-stable map
AIMS Mathematics, 2022 In this paper, based on a complete residuated lattice, we propose the definition of fuzzy weakly cut-stable map and prove the extension property of the fuzzy weakly cut-stable map.
Nana Ma, Qingjun Luo, Geni Xu
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Canonical formulas for k-potent commutative, integral, residuated lattices
, 2016 Canonical formulas are a powerful tool for studying intuitionistic and modal logics. Actually, they provide a uniform and semantic way to axiomatise all extensions of intuitionistic logic and all modal logics above K4.
Bezhanishvili, Nick +2 more
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Some decompositions of filters in residuated lattices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper we introduce a new class of residuated lattice: residuated lattice with (C∧&→) property and we prove that (C∧&→) ⇔ (C→) + (C∧).Also, we introduce and characterize C→, C∨, C∧ and C∧ & → filters in residuated lattices (i.e., we characterize ...
Piciu Dana +2 more
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An investigation on the $n$-fold IVRL-filters in triangle algebras [PDF]
Mathematica Bohemica, 2020 The present study aimed to introduce $n$-fold interval valued residuated lattice (IVRL for short) filters in triangle algebras. Initially, the notions of $n$-fold (positive) implicative IVRL-extended filters and $n$-fold (positive) implicative triangle ...
Saeide Zahiri, Arsham Borumand Saeid
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Quantale Modules and their Operators, with Applications
, 2009 The central topic of this work is the categories of modules over unital quantales. The main categorical properties are established and a special class of operators, called Q-module transforms, is defined.
Russo, Ciro
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Kragujevac Journal of MathematicsThis paper is devoted to the study of a fascinating class of residuated lattices, the so-called mp-residuated lattice, in which any prime filter contains a unique minimal prime filter. A combination of algebraic and topological methods is applied to obtain new and structural results on mp-residuated lattices.
Rasouli, Saeed, Dehghani, Amin
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Sectionally residuated lattices [PDF]
Miskolc Mathematical Notes, 2005 Summary: The concept of residuum is relativized in the so-called sections of a given lattice. It is shown that such a concept still has a majority of the good properties of residuum. The results correspond to previous ones involved in sectionally pseudocomplemented lattices.
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