Gamma Research Articles

UMT-Domain Property in Pullbacks of Graded Integral Domains

Let $$\Gamma $$ be a torsionless commutative cancellative monoid, $$T=\bigoplus _{\alpha \in \Gamma }T_{\alpha }$$ be a $$\Gamma $$ -graded integral domain, $$M = \bigoplus _{\alpha \in \Gamma }M_{\alpha }$$ be a maximal homogeneous ideal of T, $$k=T/M$$ (so $$k = \bigoplus _{\alpha \in \Gamma }T_{\alpha }/M_{\alpha }$$ ), $$\varphi :T\rightarrow k$$ be the canonical surjection, D be a $$\Gamma $$ -graded subring of k, F be the homogeneous quotient field of D, and $$R= \varphi ^{-1}(D)$$ . In this paper, among other things, we show that R is a UMT-domain (resp., PvMD, graded-Prufer domain) if and only if T and D are UMT-domains (resp., PvMDs, graded-Prufer domains), M is a maximal t-ideal of T, and k is algebraic over F (resp., $$k=F$$ ).

On the dynamics of superstring compactification

Compactification of the ten-dimensional heterotic superstring theory to four dimensions gives rise to two moduli potentials $V_{A}$ , $V_{B}$ , the positive semi-definiteness of which places constraints on the Euler characteristic $ \bar{\chi}$ of the internal space $\bar{g}_{\mu\nu}(y^{\xi})$ and the adiabatic index $\gamma$ of the effective matter source of energy-density $\rho$ and pressure $p = (\gamma -1)\rho$ that generates the physical four-space $g_{ij}(x^{k})$ , namely $\bar{\chi} < 0$ , $4/3 \leq \gamma \leq 2$ , or $\bar{\chi} > 0$ , $1 \leq \gamma \leq 4/3$ . Here, we show how fermion-bilinear condensation in the internal space, first put forward by Helayel-Neto and Smith, determines the field $\tilde{\beta} \equiv A_{\rm r} B_{\rm r}^{3}$ , thus reducing the moduli space to a single canonical field $\tilde{\sigma}=2\sigma_{B}$ with a potential ˜ , which is positive semi-definite under the same conditions that ensure positive semi-definiteness of $V_{A}$ , $V_{B}$ , and has a minimum at a value of $\tilde{\beta}$ that is approximately constant far from the Planck era at $t \gg t_{\rm P}$ . The fields $\sigma_{A}$ , $\sigma_{B}$ , which are canonically normalized in the zero-slope limit, are modified by contributions originating from the higher-derivative gravitational terms $\alpha^{\prime} \hat{\mathcal{R}}_{\rm E}^{2}$ and $\alpha^{\prime 3} \hat{\mathcal{R}}^{4}$ , but the associated kinetic energy remains positive for times $t \gtrsim t_{\rm P}/2$ , guaranteeing classical stability of the solution, since the generalized indeterminacy principle implies a minimum physically measurable time $t_{0} \approx 50 t_{\rm P}$ for the superstring theory.

Features of the motion of gel particles in a three-phase bubble column under foaming and non-foaming conditions

Fil: Salierno, Gabriel Leonardo. Consejo Nacional de Investigaciones Cientificas y Tecnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Industrias; Argentina

Nilpotent residual of fixed points

Let q be a prime and A a finite q-group of exponent q acting by automorphisms on a finite $$q'$$ -group G. Assume that A has order at least $$q^3$$ . We show that if $$\gamma _{\infty } (C_{G}(a))$$ has order at most m for any $$a \in A^{\#}$$ , then the order of $$\gamma _{\infty } (G)$$ is bounded solely in terms of m and q. If $$\gamma _{\infty } (C_{G}(a))$$ has rank at most r for any $$a \in A^{\#}$$ , then the rank of $$\gamma _{\infty } (G)$$ is bounded solely in terms of r and q.

니켈기 초내열합금의 감마프라임상의 성장거동

니켈기 초내열합금의 감마프라임상의 성장거동

Gamma Tunneling in Nuclei

Gamma Tunneling in Nuclei

The generalized Day norm. Part I. Properties

In this paper we introduce a modification of the Day norm in \(c_0(\Gamma)\) and investigate properties of this norm.

Supplement to Hölder’s inequality. II

Suppose that m ≥ 2, numbers p 1, …, p m ∈ (1, +∞] satisfy the inequality \(\frac{1}{{{p_1}}} + \cdots + \frac{1}{{{p_m}}} 0 is independent of the functions \(\Delta {\gamma _k} \in L_{ak}^{pk}\left( {{ℝ^1}} \right)\) and \(L_{ak}^{pk}\left( {{ℝ^1}} \right) \subset {L^{pk}}\left( {{ℝ^1}} \right)\) , 1 ≤ k ≤ m, are special normed spaces. A condition for the integral over ℝ1 of a product of functions to be bounded is also given.

СТАТИЧЕСКИЕ ПАРАМЕТРЫ КОМПАРАТОРОВ И ЗАРЯДОЧУВСТВИТЕЛЬНЫХ УСИЛИТЕЛЕЙ БАЗОВОГО СТРУКТУРНОГО КРИСТАЛЛА МН2ХА010 ПРИ ВОЗДЕЙСТВИИ ГАММА-ИЗЛУЧЕНИЯ

СТАТИЧЕСКИЕ ПАРАМЕТРЫ КОМПАРАТОРОВ И ЗАРЯДОЧУВСТВИТЕЛЬНЫХ УСИЛИТЕЛЕЙ БАЗОВОГО СТРУКТУРНОГО КРИСТАЛЛА МН2ХА010 ПРИ ВОЗДЕЙСТВИИ ГАММА-ИЗЛУЧЕНИЯ

Separating a Chart

In this paper, we shall show a condition for that a chart is C-move equivalent to the product of two charts, the union of two charts $\Gamma^*$ and $\Gamma^{**}$ which are contained in disks $D^*$ and $D^{**}$ with $D^*\cap D^{**}=\emptyset$.

Gamma Semirings of Gamma Endomorphisms

In this paper we study the concepts of gamma semiring of gamma endomorphisms and prove that every gamma semiring with unitiy is Γ-isomorphic to gamma semiring of gamma endomorphism.

Residual Radioisotopes Generated from Neutron Irradiated Aluminum Capsules

Aluminum (Al) is often used to house a molybdenum oxide (MoO 3 ) target for neutron or proton-produced technetium-99m ( 99m Tc) radioisotope. During neutron or proton bombardment of an Al body, residual radioisotopes could be generated following nuclear reactions between the incoming particles and the Al body. In this research, residual radioisotopes produced following nuclear reactor based-neutron irradiation of Al body were experimentally measured using a portable gamma ray spectroscopy system; whereas TALYS 2015 calculated data were used to evaluate various nuclear reactions for the by-product identification. As a comparison, Al body used in a cyclotron-based 99m Tc production was also analyzed. Experimental data indicated that relatively long-lived radioisotopes such as 26 Al, 22 Na and 24 Na were identified in the Al body following nuclear reactor-based 99m Tc production, whereas the presence of 27 Mg radioisotope was, for the first time, experimentally detected in both the Al bodies for nuclear reactor-based and cyclotron-based 99m Tc production. A special safety attention should be paid to the radiation workers when producing 99m Tc using a nuclear reactor since it generates 26 Al (half life = 716,600 years).

Analyses of the indispensible Indices in Evaluating Gamma Knife Radiosurgery Treatment Plans

Analyses of the indispensible Indices in Evaluating Gamma Knife Radiosurgery Treatment Plans

A note on ordered bi- $$\Gamma $$ Γ -ideals in intra-regular ordered $$\Gamma $$ Γ -semigroups

In this paper, we study intra-regular ordered \(\Gamma \)-semigroups through ordered bi-\(\Gamma \)-ideals and ordered quasi-\(\Gamma \)-ideals; ordered bi-\(\Gamma \)-ideals and ordered right \(\Gamma \)-ideals; ordered bi-\(\Gamma \)-ideals and ordered left \(\Gamma \)-ideals.

Detailed parametrization of neutrino and gamma-ray energy spectra from high energy proton-proton interactions

Fil: Supanitsky, Alberto Daniel. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Oficina de Coordinacion Administrativa Ciudad Universitaria. Instituto de Astronomia y Fisica del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomia y Fisica del Espacio; Argentina

Some Properties of Operations on $\Alpha O(X)$

In this paper, we introduce the notions of $\alpha_{\gamma}$-interior, $\alpha_{\gamma}$-neighbourhood, $\alpha_{\gamma}$-derived, $\alpha_{\gamma}$-boundary, $\alpha_{\gamma}$-kernel and $\alpha$-$\gamma$-g.closed set defined by $\gamma$-operation on $\alpha O(X)$ and investigate some of their properties.

Some properties of \Gamma_{q,k}(t) and related functions

Some properties of \Gamma_{q,k}(t) and related functions

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Erratum to: High-statistics study of the reaction $\gamma p\rightarrow p2\pi^{0}$

Erratum to: High-statistics study of the reaction $\gamma p\rightarrow p2\pi^{0}$

Triebel-Lizorkin space boundedness of rough singular integrals associated to surfaces

In the present paper, we consider the boundedness of the rough singular integral operator $T_{\Omega,h,\phi}$ along a surface $\Gamma=\{x=\phi(|y|)y/|y|\}$ on the Triebel-Lizorkin space $\dot{F}_{p,q}^{\alpha}({\mathbb{R}^{n}})$ for $\Omega\in H^{1}({{S}^{n-1}})$ and Ω belonging to some class $W\mathcal{F}_{\alpha}({{S}^{n-1}})$ , which relates to the Grafakos-Stefanov class.