the submodules with the property of the title ( a submodule $n$ of an $r$-module $m$ is called strongly dense in $m$, denoted by $nleq_{sd}m$, if for any index set $i$, $prod _{i}nleq_{d}prod _{i}m$) are introduced and fully investigated. it is shown that for each submodule $n$ of $m$ there exists the smallest subset $d'subseteq m$ such that $n+d'$ is a strongly dense submodule of $m$...

At ambient pressure, studies of resistivity, magnetic susceptibility, and carbon-13 nuclear resonance (NMR) were conducted on the quasi-one-dimensional organic conductor ${(\text{DMET-}\mathrm{TTF})}_{2}{\mathrm{AuBr}}_{2}$. Resistivity measurements showed a broad minimum at approximately 160 K, insulator behavior below this temperature susceptibility results revealed dip structure 22 K. same t...

Collective excitations of rotating dusty plasma are analyzed under the quasi-localized charge approximation (QLCA) framework for strongly coupled systems by explicitly accounting dust rotation in analysis. Considering firm analogy magnetoplasmons with “rotoplasmons” established recent experiments, relaxation introduced their strong coupling and two-dimensional (often gravitational sedimentation...

In this paper, we introduce the dual notion of strongly top modules and study some of the basic properties of this class of modules.