let $r$ be a commutative ring with identity and $m$ be a finitely generated unital $r$-module. in this paper, first we give necessary and sufficient conditions that a finitely generated module to be a multiplication module. moreover, we investigate some conditions which imply that the module $m$ is the direct sum of some cyclic modules and free modules. then some properties of fitting ideals of...

background: cucumber mosaic virus (cmv) from the bromoviridae family, is one of the most widespread plant viruses in the world. objectives: in the present study tomato fields in guilan, isfahan, khorasan razavi, khuzestan and tehran provinces were surveyed to determine the presence of cmv subgroups during 2011-2012. materials and methods: out of 305 symptomatic leaf samples tested by enzyme-lin...

groups of infinite rank in which every subgroup is either normal or self-normalizing are characterized in terms of their subgroups of infinite rank.

a subgroup $x$ of a group $g$ is almost normal if the index $|g:n_g(x)|$ is finite, while $x$ is nearly normal if it has finite index in the normal closure $x^g$. this paper investigates the structure of groups in which every (infinite) subgroup is either almost normal or nearly normal.

Abstract Objective Researchers have developed the Dietary Inflammatory Index (DII) as a tool to quantify inflammatory potential of given diet. Higher DII scores indicated more proinflammatory While inflammation is known strong impact on thyroid function, precise nature association between and function has yet be clarified. This study was conducted with goal exploring this relationship in repres...

The main motivation of the study is to prevent and optimize deviations in linear connections with complex calculations related previous next steps. This purpose used for more stable detection therefore segmentation object edge/corner regions Quality Control Systems Image Processing Artificial Intelligence algorithms produced by authors within Alpplas Industrial Investments Inc. dataset this are...

Background and Aim: There is a gap of information on the effect of time, disinfectant, and storage conditions on the dimensional stability of direct post patterns made of self-cure acrylic resins. This study assessed the effect of Deconex® and wet or dry stor-age conditions on the dimensional stability of post patterns made of Duralay and GC acrylic resins. Materials and Methods: Sixty spe...

Statistical findings on subgroups belong to the most popular and simple forms of knowledge we encounter in all domains of science, business, or even daily life. We are told such messages as: Unemployment rate is overproportionally high for young men with low educational level, young poor women are infected with AIDS at a much higher rate than their male counterparts, lung cancer mortality rate ...

If N is a nontrivial proper normal subgroup of a finite group G then N and G/N are smaller than G. While it is false that G can be completely reconstructed from knowledge of N and G/N (see Example 1.1 below), it is nevertheless a standard technique in finite group theory to prove theorems about finite groups by induction on the size of the group and thereby use information about the smaller gro...

Suppose we are given a finite subset E ⊂ R and a function f : E → R. How to extend f to a C function F : R → R with C norm of the smallest possible order of magnitude? In this paper and in [20] we tackle this question from the perspective of theoretical computer science. We exhibit algorithms for constructing such an extension function F , and for computing the order of magnitude of its C norm....