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Algebraic Properties of Spherical Fuzzy Sets
The spherical fuzzy set (SFS) is an advanced version of fuzzy set, intutionistic fuzzy set, Pythagorean fuzzy set, and picture fuzzy set. This...
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Maximal theta functions universal optimality of the hexagonal lattice for Madelung-like lattice energies
We present two families of lattice theta functions accompanying the family of lattice theta functions studied by Montgomery in [H. Montgomery, Minimal...
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On lattice polarizable cubic fourfolds
We extend non-emptyness and irreducibility of Hassett divisors to the moduli spaces of M -polarizable cubic fourfolds for higher rank lattices M ,...
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Lattice Cohomology
First, we define the lattice cohomology associated with the link of a normal surface singularity, whenever this link is a rational homology sphere....
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Mixed lattice structures and cone projections
Problems related to projections on closed convex cones are frequently encountered in optimization theory and related fields. To study these problems,...
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Perturbations of Nonhyperbolic Algebraic Automorphisms of the 2-Torus
AbstractAll nonhyperbolic automorphisms of the 2-torus are not structurally stable, and it is generally impossible to predict the dynamics of their...
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Algebraic frames in which dense elements are above dense compact elements
A ring is called a zip ring (Carl Faith coined this term) if every faithful ideal contains a finitely generated faithful ideal. By first proving that...
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Lattice Sums of Hyperplane Arrangements
The aim of the present chapter is to prove Theorems 9.10 , 9.11 ,...
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From wave functions to tau-functions for the Volterra lattice hierarchy
For an arbitrary solution to the Volterra lattice hierarchy, the logarithmic derivatives of the tau-function of the solution can be computed by the...
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Sullivan’s Juvenilia: Surgery and Algebraic Topology
Dennis Sullivan’s early work, despite being strongly motivated by geometric problems, had a strong algebraic nature, certainly much more so than his...
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About Minimal Polynomial of Residual Fractions for Algebraic Irrationalities
AbstractWe study the form and properties of minimal polynomials of residual fractions in continued fraction expansions of algebraic numbers. For...
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New representations of algebraic domains and algebraic L-domains via closure systems
Closure systems (spaces) play an important role in characterizing certain ordered structures. In this paper, FinSet-bounded algebraic closure spaces ...
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Numerical Modeling of Lattice Modes of Photonic-Crystal Lasers by Galerkin Method with Exact Matrix Elements
AbstractThe paper is devoted to the mathematical modeling of the two-dimensional dielectric photonic-crystal resonators. The original eigenvalue...
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The research and progress of the enumeration of lattice paths
The enumeration of lattice paths is an important counting model in enumerative combinatorics. Because it can provide powerful methods and technical...
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Lattice Theory
The first symbols are very much used, when the elements are sets, but they are different to read, easy to confuse and lack standard verbal...
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Lattice Path Matroids and Quotients
We characterize the quotients among lattice path matroids (LPMs) in terms of their diagrams. This characterization allows us to show that ordering...
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Post-Quantum Cryptosystems: Open Problems and Solutions. Lattice-Based Cryptosystems
AbstractThe paper provides an overview of the main approaches to the construction of post-quantum cryptographic systems that are currently used. The...
