the author studies the $bf r$$g$-module $a$ such that $bf r$ is an associative ring‎, ‎a group $g$ has infinite section $p$-rank (or infinite 0-rank)‎, ‎$c_{g}(a)=1$‎, ‎and for every‎ ‎proper subgroup $h$ of infinite section $p$-rank (or infinite 0-rank respectively) the quotient module $a/c_{a}(h)$ is‎ ‎a finite $bf r$-module‎. ‎it is proved that if the group $g$ under‎ ‎consideration is local...

Let M be an Artinian module over the commutative ring A (with nonzero identity) and a p spec A be such that a is a finitely generated ideal of A and aM = M. Also suppose that H = H where H. = M/ (0: a )for i

The use of synthetic biological systems in research, healthcare, and manufacturing often requires autonomous history-dependent behavior and therefore some form of engineered biological memory. For example, the study or reprogramming of aging, cancer, or development would benefit from genetically encoded counters capable of recording up to several hundred cell division or differentiation events....

We show that finite-dimensional Lie algebras over a field of characteristic zero such that their high-degree cohomology in any finite-dimensional non-trivial irreducible module vanishes, are, essentially, direct sums of semisimple and nilpotent algebras. The classical First and Second Whitehead Lemmata state that the first, respectively second, cohomology group of a finite-dimensional semisimpl...

Let $(A,\mathfrak{m})$ be a Gorenstein local ring and let $M$, $N$ two Cohen-Macaulay $A$-modules with $M$ linked to via ideal $\mathfrak{q}$. $L$ another finitely generated $A$-module. We show that $\mathrm{Ext}^i_A(L,M) = 0 $ for all $i \gg 0$ if only $\mathrm{Tor}^A_i(L,N) 0$. If $D$ is module then we $\mathrm{Ext}^i_A(M, D) $\mathrm{Ext}^i_A(D^\dagger , N) 0$, where $D^\dagger \mathrm{Ext}^...

Introduction: The current study investigated the combination of high Z atoms (iodine-, platinium-based drugs) with using low energy irradiation (120kvp) in Anaplastic Thyroid cancer cells.Materials and Methods: For this purpose, eight groups were designed: control (CNT), different concentrations of Iodine contrast media (ICM),  irradiation with various doses, Cis-platin (CDDP) with different c...

The new immunosuppressive agent, SDZ-RAD, and its analog rapamycin were examined for intestinal absorption, metabolism, and bioavailability in Wistar rats. Intestinal first-pass metabolism studies from rat jejunum showed that at 0.5 mg of SDZ-RAD/kg rat, 50% of the parent compound was metabolized in the intestinal mucosa, and this decreased to around 30% when SDZ-RAD was increased to 5.0 mg/kg ...

In this paper the efficiency of code generated by a particular RAD systems will be examined and contrasted with other available systems. The functionality and performance of SMT6050, the new software module from Sundance, helping RAD systems target DSP will be fully discussed. The RAD used as the base system, in this case, is Simulink and Real Time Workshop (RTW) from MathWorks . These two prod...