let $m$ be an $r$-module and $0 neq fin m^*={rm hom}(m,r)$. we associate an undirected graph $gf$ to $m$ in which non-zero elements $x$ and $y$ of $m$ are adjacent provided that $xf(y)=0$ or $yf(x)=0$. weobserve that over a commutative ring $r$, $gf$ is connected anddiam$(gf)leq 3$. moreover, if $gamma (m)$ contains a cycle,then $mbox{gr}(gf)leq 4$. furthermore if $|gf|geq 1$, then$gf$ is finit...

We study supersolid-like states in a quasi-two-dimensional trapped Rashba and Dresselhaus spin-orbit (SO) coupled spin-1 condensate. For small strengths of SO coupling $\gamma$ ($\gamma \lessapprox 0.75$), the ferromagnetic phase, circularly-symmetric $(0,\pm 1, \pm 2)$- $(\mp 0,\pm 1)$-type are formed where numbers parentheses denote angular momentum vortex at center components upper (lower) s...

Abstract In p -adic analysis one can find an analog of the classical gamma function defined on ring integers. 1975, Morita $$\Gamma _p$$ Γ p by a suitable modification $$n \mapsto n!$$ n ↦ ! . thi...

Hairpin polyamides are synthetic ligands for sequence-specific recognition in the minor groove of double-helical DNA. A thermodynamic characterization of the DNA-binding properties exhibited by a six-ring hairpin polyamide, ImPyPy-gamma-PyPyPy-beta-Dp (where Im = imidazole, Py = pyrrole, gamma = gamma-aminobutyric acid, beta = beta-alanine, and Dp = dimethylaminopropylamide), reveals an approxi...

In proteins, the proline ring exists predominantly in two discrete states. However, there is also a small but significant amount of flexibility in the proline ring of high-resolution protein structures. We have found that this side-chain flexibility is coupled to the backbone conformation. To study this coupling, we have developed a model that is simply based on geometric and steric factors and...

Gamma-tubulin belongs to the tubulin superfamily and plays an essential role in the nucleation of cellular microtubules. In the present study, we report the characterization of gamma-tubulin from the psychrophilic Antarctic ciliate Euplotes focardii. In this organism, gamma-tubulin is encoded by two genes, gamma-T1 and gamma-T2, that produce distinct isotypes. Comparison of the gamma-T1 and gam...

The characterization of a new class of pyrrole-imidazole hairpin polyamides with beta-amino-gamma-turn units for recognition of the DNA minor groove is reported. A library of eight hairpins containing ( R)- and ( S)-3,4-diaminobutyric acid (beta-amino-gamma-turn) has been synthesized, and the impact of the molecules on DNA-duplex stabilization was studied for comparison with the parent gamma-am...