Z2Z4-additive codes have been defined as a subgroup of Z r 2 ×Z s 4 in [5] where Z2, Z4 are the rings of integers modulo 2 and 4 respectively and r and s positive integers. In this study, we define a new family of codes over the set Zr2[ξ̄] × Z s 4[ξ] where ξ is the root of a monic basic primitive polynomial in Z4[x]. We give the standard form of the generator and parity-check matrices of codes ...

In this paper we enumerate essentially all non-symmetric association schemes with three classes, less than 96 vertices and with a regular group of automorphisms. The enumeration is based on computer search in Schur rings. The most interesting cases have 64 vertices. In one primitive case and in one imprimitive case where no association scheme was previous known we find several new association s...

Short range order and topology of GexS100-x glasses over a broad composition (20 ≤ x 42 in at%) was investigated by neutron diffraction, X-ray Ge K-edge extended absorption fine structure (EXAFS) measurements. The experimental data sets were fitted simultaneously the framework reverse Monte Carlo simulation method. It found that both constituents (Ge S) satisfy Mott-rule all glasses: S atoms ha...

Polycyclic aromatic hydrocarbons (PAHs) are a class of compounds consisting of more than twobenzene rings fused in a linear, angular, or clustered arrangement and do not contain hetero atomsor carry subsistent. PAHs originate from various sources. They are primarily formed byincomplete combustion of carbon-containing fuels such as wood, coal, diesel, fat, or tobacco. Thepresent study reports an...

‎given a finite non-cyclic group $g$‎, ‎call $sigma(g)$ the smallest number of proper subgroups of $g$ needed to cover $g$‎. ‎lucchini and detomi conjectured that if a nonabelian group $g$ is such that $sigma(g) < sigma(g/n)$ for every non-trivial normal subgroup $n$ of $g$ then $g$ is textit{monolithic}‎, ‎meaning that it admits a unique minimal normal subgroup‎. ‎in this paper we show how thi...

We show  that a projective maximal submodule of afinitely generated, regular, extending module is a directsummand. Hence, every finitely generated, regular, extendingmodule with projective maximal submodules is semisimple. As aconsequence, we observe that every regular, hereditary, extendingmodule is semisimple. This generalizes and simplifies a result of  Dung and   Smith. As another consequen...

polycyclic aromatic hydrocarbons (pahs) are a class of compounds consisting of more than twobenzene rings fused in a linear, angular, or clustered arrangement and do not contain hetero atomsor carry subsistent. pahs originate from various sources. they are primarily formed byincomplete combustion of carbon-containing fuels such as wood, coal, diesel, fat, or tobacco. thepresent study reports an...

The hydrogen-bonded structure of methanol – water mixtures is investigated over the entire alcohol concentration range (from xMethanol = 0.1 to 1.0) at several temperatures, from 300 K down freezing point given mixture. Classical molecular dynamics simulations have been carried out, using all-atom OPLS-AA force field for and TIP4P/2005 model molecules. Simulation trajectories (‘particle configu...

In 2011, Khurana, Lam and Wang defined the following property: (*) A commutative unital ring satisfies property “power stable range one” if for all a,b∈A with aA+bA=A there is an integer N=N(a,b)≥1 λ=λ(a,b)∈A such that bN+λa∈A×, unit group of A. 2019, Berman Erman considered rings (**) has enough homogeneous polynomials any k≥1 set S:={p1,p2,…⁡,pk}, primitive points in An n≥2, exists a polynomi...