We introduce the notion of a generalized semi-ideal in a ternary semiring. Various examples to establish a relationship between ideals, bi-ideals, quasi-ideals and generalized semi-ideals are furnished. A criterion for a commutative ternary semiring without any divisors of zero to a ternary division semiring is given. AMS Mathematics Subject Classification (2010): 16Y60, 16Y99

In this paper, a modified TOPSIS (techniques for order preference by similarity to ideal solution) approach for solving bi-level multi-objective programming (BL-MOP) problems with fuzzy parameters is presented. These fuzzy parameters are assumed to be characterized by fuzzy numerical data, reflecting the experts' imprecise or fuzzy understanding of the nature of the parameters in the problem fo...

In two-dimensional (2D) lattices, the electronic levels are unevenly spaced, and the density of states (DOS) displays a logarithmic divergence known as the Van Hove singularity (VHS). This is the case in particular for the layered cuprate superconductors. The scanning tunnelling microscope (STM) probes the DOS, and is therefore the ideal tool to observe the VHS. No STM study of cuprate supercon...

To enhance the performance of Babbitt–steel bimetallic composites, bismuth (Bi) was incorporated into Tin (Sn)-interlayer. composites were created using liquid–solid compound casting method in this study. Sn–Bi interlayer alloys with varying levels Bi (1, 2, 3, and 4 wt.%) created. The Babbitt-steel composite’s bonding strength interfacial microstructure examined relation to Sn-Bi alloys. struc...

The objective of this paper is to present a technique for order preference by similarity to ideal solution (TOPSIS) algorithm to linear fractional bi-level multi-objective decision-making problem. TOPSIS is used to yield most appropriate alternative from a finite set of alternatives based upon simultaneous shortest distance from positive ideal solution (PIS) and furthest distance from negative ...

Let R be a prime ring with center Z, I nonzero ideal of and D: × → symmetric bi–(α, α)-derivation d the trace D. In present paper, we have considered following conditions: i) [d(x), x]α,α = 0, ii)[d(x), ⊆ Cα,α, iii)(d(x), x)α,α iv)D1(d2(x), x) v)d1(d2(x)) f(x), for all x, y ∈ I, where D1 D2 are two bi-(α, α)-derivations, d1, d2 traces D1, respectively, B: is bi-additive mapping, f B.

In the paper, we develop a theory of reaction-diffusion equations containing discontinuous hysteresis operator — the so-called non-ideal relay. The nonideal relay (or a bi-stable relay, or lazy switch) is the most basic, yet nontrivial hysteresis operator. The state (output) of the non-ideal relay switches from −1 to 1 when the input exceeds a threshold value x ∈ R and switches back to state −1...

The intrinsic ferromagnetic (FM) axion insulators and Weyl semimetals (WSMs) with only single pair of points have drawn intensive attention but so far remain rare elusive in real materials. Here, we propose a new class Mn\emph{X}$_{2}$\emph{B}$_{2}$\emph{T}$_{6}$-B (\emph{X}=Ge, Sn, or Pb; \emph{B}=Sb Bi; \emph{T}=Se Te) family that is the stable structural form this system. We find has not FM ...

the decomposition $gamma=bh$ of a group $gamma$ into a subset $b$ and a subgroup $h$ of $gamma$ induces, under general conditions, a group-like structure for $b$, known as a gyrogroup. the famous concrete realization of a gyrogroup, which motivated the emergence of gyrogroups into the mainstream, is the space of all relativistically admissible velocities along with a binary operation given by t...

Résumé. Dans cet article, nous proposons un système de classification des comptes-rendus mammographiques, reposant sur une ontologie radiologique décrivant les signes radiologiques et les différentes classes de la classification ACR des systèmes BIRADS dans le langage OWL. Le système est conçu pour, extraire les faits issus des textes libres de comptes-rendus en étant dirigé par l’ontologie, pu...