Results 1 to 10 of about 305 (70)
On n-fold implicative filters of lattice implication algebras
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 11, Page 695-699, 2001., 2001 We introduce the notion of n-fold implicative filters and n-fold implicative lattice implication algebras. We give characterizations of n-fold implicative filters and n- fold implicative lattice implication algebras.
Y. Jun
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The prime filter theorem of lattice implication algebras
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 2, Page 115-118, 2001., 2001 Using a special set x −1 F , we give an equivalent condition for a filter to be prime, and applying this result, we provide the prime filter theorem in lattice implication algebras. 2000 Mathematics Subject Classification. Primary 03G10, 06B10, 54E15. 1.
Y. Jun
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Representation and Construction of Intuitionistic Fuzzy 𝒯 -Preorders and Fuzzy Weak 𝒯 -Orders
Discussiones Mathematicae - General Algebra and Applications, 2021 In this paper, we consider the problem of representation and construction of intuitionistic fuzzy preorders and weak orders, where many fundamental representation results extending those of Ulrich Bodenhofer et al. are presented.
Ziane Brahim, Amroune Abdelaziz
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Discussiones Mathematicae - General Algebra and Applications, 2021 In this paper, we introduce Sheffer Stroke UP-algebra (in short, SUP-algebra) and study its properties. We demonstrate that the Cartesian product of two SUP-algebras is a SUP-algebra.
Oner Tahsin +2 more
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n-Fold Fantastic and n-Fold Involutive Ideals in Bounded Commutative Residuated Lattices
Discussiones Mathematicae - General Algebra and Applications, 2022 In this paper, we introduce the concepts of n-fold obstinate ideals, n-fold normal ideals, n-fold fantastic ideals and n-fold involutive ideals in residuated lattices, state and prove some of their properties.
Yinga Fabrice Tchoua +2 more
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Natural Factors of the Medvedev Lattice Capturing IPC [PDF]
, 2014 Skvortsova showed that there is a factor of the Medvedev lattice which captures intuitionistic propositional logic (IPC). However, her factor is unnatural in the sense that it is constructed in an ad hoc manner.
Kuyper, Rutger
core +7 more sources
Towards a Ring Analogue of the Leftover Hash Lemma
Journal of Mathematical Cryptology, 2020 The leftover hash lemma (LHL) is used in the analysis of various lattice-based cryptosystems, such as the Regev and Dual-Regev encryption schemes as well as their leakage-resilient counterparts. The LHL does not hold in the ring setting, when the ring is
Dachman-Soled Dana +3 more
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Flattening NTRU for Evaluation Key Free Homomorphic Encryption
Journal of Mathematical Cryptology, 2020 We propose a new FHE scheme F-NTRU that adopts the flattening technique proposed in GSW to derive an NTRU based scheme that (similar to GSW) does not require evaluation keys or key switching.
Doröz Yarkın, Sunar Berk
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Discussiones Mathematicae - General Algebra and Applications, 2022 In this paper we introduce Sheffer stroke BE-algebras (briefly, SBE-algebras) and investigate a relationship between SBE-algebras and BE-algebras. By presenting a SBE-filter, an upper set and a SBE-subalgebra on a SBE-algebra, it is shown that any SBE ...
Katican Tugce +2 more
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CONSTRUCTION OF NESTED REAL IDEAL LATTICES FOR INTERFERENCE CHANNEL CODING
International Journal of Apllied Mathematics, 2019 In this work we develop a new algebraic methodology which quantizes real-valued channels in order to realize interference alignment (IA) onto a real ideal lattice. Also we make use of the minimum mean square error (MMSE) criterion to estimate real-valued
C. Watanabe
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