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A Survey of Lattice-Based Physical-Layer Security for Wireless Systems with p-Modular Lattice Constructions [PDF]
EntropyPhysical-layer security (PLS) provides an information-theoretic framework for securing wireless communications by exploiting channel and signal-structure asymmetries, thereby avoiding reliance on computational hardness assumptions.
Hassan Khodaiemehr +5 more
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On quasi-identities of finite modular lattices. II [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 The existence of a finite identity basis for any finite lattice was established by R. McKenzie in 1970, but the analogous statement for quasi-identities is incorrect.
A.O. Basheyeva, S.M. Lutsak
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Direct summands of Goldie extending elements in modular lattices [PDF]
Mathematica Bohemica, 2022 In this paper some results on direct summands of Goldie extending elements are studied in a modular lattice. An element $a$ of a lattice $L$ with $0$ is said to be a Goldie extending element if and only if for every $b \leq a$ there exists a direct ...
Rupal Shroff
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On quasi-identities of finite modular lattices
Вестник КазНУ. Серия математика, механика, информатика, 2022 In 1970 R. McKenzie proved that any finite lattice has a finite basis of identities. However the similar result for quasi-identities is not true. That is there is a finite lattice that has no finite basis of quasi-identities.
S. Lutsak, O. Voronina, G. Nurakhmetova
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On some new developments in the theory of subgroup lattices of groups [PDF]
International Journal of Group Theory, 2023 A rather natural way for trying to obtain a lattice-theoretic characterization of a class of groups ${\mathcal X}$ is to replace the concepts appearing in the definition of ${\mathcal X}$ by lattice-theoretic concepts.
Maria De Falco, Carmela Musella
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Cryptography, 2023 The Number Theoretic Transform (NTT) has been widely used to speed up polynomial multiplication in lattice-based post-quantum algorithms. All NTT operands use modular arithmetic, especially modular multiplication, which significantly influences NTT ...
Trong-Hung Nguyen +2 more
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Some non-standard quasivarieties of lattices [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 The questions of the standardness of quasivarieties have been investigated by many authors. The problem "Which finite lattices generate a standard topological prevariety?" was suggested by D.M. Clark, B.A. Davey, M.G. Jackson and J.G. Pitkethly in 2008.
S.M. Lutsak +3 more
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Equivalent Forms for a Poset to Be Modular Poset
Discussiones Mathematicae - General Algebra and Applications, 2021 The notion of modular and distributive posets which generalize the corresponding notions from the lattice theory are introduced by J. Larmerova and J. Rachnek.
Sundarayya P., Kishore T. Ravi
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THE LATTICE OF CONGRUENCES ON A TERNARY SEMIGROUP [PDF]
Journal of Algebraic Systems, 2018 In this paper we investigate some properties of congruences on ternary semigroups. We also define the notion of congruence on a ternary semigroup generated by a relation and we determine the method of obtaining a congruence on a ternary semigroup T from a
N. Ashrafi, Z. Yazdanmehr
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S-acts over a Well-ordered Monoid with Modular Congruence Lattice
Известия Иркутского государственного университета: Серия "Математика", 2021 This work relates to the structural act theory. The structural theory includes the description of acts over certain classes of monoids or having certain properties, for example, satisfying some requirement for the congruence lattice.
A.A. Stepanova
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