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# Recurrence relations and reliability measures in slash and skew-slash distributions

Studia Scientiarum Mathematicarum Hungarica
Authors: Yaser Mehrali, Majid Asadi, and Gholamhossein Hamedani

In recent years, slash and skew slash distributions have been employed, as flexible models, in various fields. In this paper, we study several properties of these distributions in both univariate and multivariate cases. Some recurrence relations for the probability density functions are derived and the behavior of reliability measures, such as hazard rate and mean residual life, associated to these distributions are investigated.

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# Rings whose nilpotent elements form a Lie ideal

Studia Scientiarum Mathematicarum Hungarica
Authors: Yinchun Qu and Junchao Wei

A ring R is called NLI (rings whose nilpotent elements form a Lie ideal) if for each aN(R) and bR, abbaN(R). Clearly, NI rings are NLI. In this note, many properties of NLI rings are studied. The main results we obtain are the following: (1) NLI rings are directly finite and left min-abel; (2) If R is a NLI ring, then (a) R is a strongly regular ring if and only if R is a Von Neumann regular ring; (b) R is (weakly) exchange if and only if R is (weakly) clean; (c) R is a reduced ring if and only if R is a n-regular ring; (3) If R is a NLI left MC2 ring whose singular simple left modules are Wnil-injective, then R is reduced.

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# Calculating different topological indices of total graph of ℤ n

Studia Scientiarum Mathematicarum Hungarica
Authors: M. Nikmehr, L. Heidarzadeh, and N. Soleimani

A recently published paper [6] considered the total graph of commutative ring R. In this paper, we compute Wiener, hyper-Wiener, reverse Wiener, Randić, Zagreb, ABC and GA indices of zero-divisor graph.

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# A classifier for simple space curve singularities

Studia Scientiarum Mathematicarum Hungarica
Authors: Faira Janjua and Gerhard Pfister

The classification of Bruce and Gaffney respectively Gibson and Hobbs for simple plane curve singularities respectively simple space curve singularities is characterized in terms of invariants. This is the basis for the implementation of a classifier in the computer algebra system singular.

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# Convergence of logarithmic means of multiple Walsh-Fourier series

Studia Scientiarum Mathematicarum Hungarica
Authors: György Gát and Ushangi Goginava

The maximal Orlicz spaces such that the mixed logarithmic means of multiple Walsh-Fourier series for the functions from these spaces converge in measure and in norm are found.

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# Erdös-Ko-Rado theorem in some linear groups and some projective special linear group

Studia Scientiarum Mathematicarum Hungarica
Authors: Milad Ahanjideh and Neda Ahanjideh
Let V be the 2-dimensional column vector space over a finite field
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\mathbb{F}_q$$ \end{document}
(where q is necessarily a power of a prime number) and let ℙq be the projective line over
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\mathbb{F}_q$$ \end{document}
. In this paper, it is shown that GL 2(q), for q ≠ 3, and SL 2(q) acting on V − {0} have the strict EKR property and GL 2(3) has the EKR property, but it does not have the strict EKR property. Also, we show that GL n(q) acting on
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\left( {\mathbb{F}_q } \right)^n - \left\{ 0 \right\}$$ \end{document}
has the EKR property and the derangement graph of PSL 2(q) acting on ℙq, where q ≡ −1 (mod 4), has a clique of size q + 1.
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# Generalized ideal transforms

Studia Scientiarum Mathematicarum Hungarica
Authors: Tran Nam and Nguyen Tri

We study basic properties of the generalized ideal transforms D I (M, N) and the set of associated primes of the modules R i D I (M, N).

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# The influence of weakly \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\mathcal{H}$$ \end{document}-subgroups on the structure of finite groups

Studia Scientiarum Mathematicarum Hungarica
Authors: M. Asaad, M. Al-Shomrani, and A. Heliel
Let G be a finite group. A subgroup H of G is called an
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\mathcal{H}$$ \end{document}
-subgroup in G if N G(H) ∩ H gH for all gG. A subgroup H of G is called a weakly
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\mathcal{H}$$ \end{document}
-subgroup in G if there exists a normal subgroup K of G such that G = HK and HK is an
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\mathcal{H}$$ \end{document}
-subgroup in G. In this article, we investigate the structure of a group G in which every subgroup with order p m of a Sylow p-subgroup P of G is a weakly
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\mathcal{H}$$ \end{document}
-subgroup in G, where m is a fixed positive integer. Our results improve and extend the main results of Skiba [13], Jaraden and Skiba [11], Guo and Wei [8], Tong-Veit [15] and Li et al. [12].
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# A new generalization of the logarithmic series distribution

Studia Scientiarum Mathematicarum Hungarica
Author: A. Mishra

A new generalization of the logarithmic series distribution has been obtained as a limiting case of the zero-truncated Mishra’s [10] generalized negative binomial distribution (GNBD). This distribution has an advantage over the Mishra’s [9] quasi logarithmic series distribution (QLSD) as its moments appear in compact forms unlike the QLSD. This makes the estimation of parameters easier by the method of moments. The first four moments of this distribution have been obtained and the distribution has been fitted to some well known data-sets to test its goodness of fit.

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# A note on a Turán-type extremal question on 3-graphs

Studia Scientiarum Mathematicarum Hungarica
Author: Vajk Széecsi

An upper bound is given on the size of a k-fan-free 3-graph, and an infinite family reaching this bound is also described.

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