In the basic general frame of the Langlands global program, a local p -adic elliptic semimodule corresponding to a local (left) cuspidal form is constructed from it global equivalent covered by p roots. In the same context, global and local bilinear deformations of Galois representations inducing the invariance of their respective residue fields are introduced as well as global and local biline...

generalizing the concepts of -fuzzy (left, right, lateral) ideals, -fuzzy quasi-ideals and   -fuzzy bi (generalized bi-) ideals in ternary semigroups, the notions of -fuzzy (left, right, lateral) ideals, -fuzzy quasi-ideals and -fuzzy bi (generalized bi-) in ternary semigroups are introduced and several related properties are investigated. some new results are obtained.

The blocks of a balanced ternary design, BTD(V,B; ρ1, ρ2, R;K,Λ), can be partitioned into two sets: the b1 blocks that each contain no repeated elements, and the b2 = B − b1 blocks containing repeated elements. In this note, we address, and answer in some particular cases, the following question. For which partitions of the integer B as b1 + b2 does there exist a BTD(V,B; ρ1, ρ2, R;K,Λ)?

Let (ωn)0<n be the sequence known as Integer Sequence A047749 In this paper, we show that the integer ωn enumerates various kinds of symmetric structures of order two. We first consider ternary trees having a reflexive symmetry and we relate all symmetric combinatorial objects by means of bijection. We then generalize the symmetric structures and correspondences to an infinite family of symmetr...

It is known that any self-dual Boolean function can be decomposed into compositions of 3-bit majority functions. In this paper, we define a notion of a ternary majority formula, which is a ternary tree composed of nodes labeled by 3-bit majority functions and leaves labeled by literals. We study their complexity in terms of formula size. In particular, we prove upper and lower bounds for ternar...

A polygonal diagram of the state CaO-SiO2-MgO ternary system was constructed in entire range concentrations solid and liquid initial components, which increases informativeness diagrams metallurgical systems. The obtained results SCS analysis silicate silicide phases duplex SiO2–MgO–CaO : Si–Mg–Ca are scientific basis for optimization blast furnace iron refining processes with smelting slags ma...

We define the Lukasiewicz Transform as a residuated map and a homomorphism between semimodules over the semiring reducts of an MV-algebra. Then we describe the “ Lukasiewicz Transform Based” ( LTB) algorithm for image processing. We also propose a strong extension of such concepts and results in the framework of quantales and quantale modules. 1 The Lukasiewicz transform and its applications Th...

Density, viscosity and refractive index of pure, binary and ternary mixtures of diethanolamine (DEA) and methyl diethanolamine (MDEA) with water have been measured at different temperatures from 288.15 K to 323.15 K at atmospheric pressure. Also, this study presents the effects of mixture composition and temperature upon these thermo- physical properties. To measure the density and refractive i...

in this work an analytical equation of state has been employed to calculate the pvt properties ofternary refrigerant mixtures. the theoretical eos is that of ihm, song and mason, which is based onstatistical-mechanical perturbation theory, and the two constants are enthalpy of vaporization δhvapand molar density ρnb, both at the normal boiling temperature. the following three temperaturedepende...