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1. A new characterization for the simple group ${\rm PSL}(2,p^2)$ by order and some character degrees

Creator:
Khosravi, Behrooz, Khosravi, Behnam, Khosravi, Bahman, and Momen, Zahra
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
character degree, order, and projective special linear group
Language:
English
Description:
Let $G$ be a finite group and $p$ a prime number. We prove that if $G$ is a finite group of order $|{\rm PSL}(2,p^2)|$ such that $G$ has an irreducible character of degree $p^2$ and we know that $G$ has no irreducible character $\theta $ such that $2p\mid \theta (1)$, then $G$ is isomorphic to ${\rm PSL}(2,p^2)$. As a consequence of our result we prove that ${\rm PSL}(2,p^2)$ is uniquely determined by the structure of its complex group algebra.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. A note on degree-continuous graphs

Creator:
Lin, Chiang and Ou, Wei-Bo
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
order, degree-continuous graph, degree set, Erdös-Gallai theorem, and regular graph
Language:
English
Description:
The minimum orders of degree-continuous graphs with prescribed degree sets were investigated by Gimbel and Zhang, Czechoslovak Math. J. 51 (126) (2001), 163–171. The minimum orders were not completely determined in some cases. In this note, the exact values of the minimum orders for these cases are obtained by giving improved upper bounds.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

3. Dvě ontologie české demokracie: T. G. Masaryk a J. L. Fischer

Creator:
Pauza, Miroslav
Type:
article, model:article, and TEXT
Subject:
J. L. Fischer, democracy, T. G. Masaryk, order, structure, function, individuality, sociality, and crisis
Language:
Czech
Description:
The article treats of the discussion of democracy in the Czech intellectual context of the first half of the 20th century. Its starting point is the thesis that the nature of this discussion is determined by two clearly defined types of approach. One of them understood democracy as the concerning the general level which alone enabled free discussion and the dignified life of citizens (E. Beneš, E. Rádl, F. X. Šalda, F. Peroutka, K. Čapek and others). The second approach is an attempt to found democratic social-political practice on reflected philosophical theory. This conception is represented by T.G. Masaryk and J.L. Fischer. Masaryk is the “ontotheologian” of democracy which is, for him, an expression of the active presence of Providence in history. J. L. Fischer is the “onto-epistemologist” of democracy. He understands democracy as the realisation of the hierarchical Order of Reality, interpreted along the lines of structural functionalism. For Masaryk a crisis of democracy is ex definitione impossible, for Fischer it is a real threat because “pathological structures”. In both cases, however, there is an attempt to legitimise everyday reality by Transcendence.
Rights:
http://creativecommons.org/licenses/by-nc-sa/4.0/ and policy:public

4. Fixed point results on a metric space endowed with a finite number of graphs and applications

Creator:
Argoubi, Hajer, Samet, Bessem, and Turinici, Mihai
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
fixed point, graph, metric space, order, and cyclic map
Language:
English
Description:
In this paper, we consider self-mappings defined on a metric space endowed with a finite number of graphs. Under certain conditions imposed on the graphs, we establish a new fixed point theorem for such mappings. The obtained result extends, generalizes and improves many existing contributions in the literature including standard fixed point theorems, fixed point theorems on a metric space endowed with a partial order and fixed point theorems for cyclic mappings.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

5. Monotone meta-Lindelöf spaces

Creator:
Gao, Yin-Zhu and Shi, Wei-Xue
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
monotonically meta-Lindelöf, compact, point-countable, order, and linearly ordered extension
Language:
English
Description:
In this paper, we study the monotone meta-Lindelöf property. Relationships between monotone meta-Lindelöf spaces and other spaces are investigated. Behaviors of monotone meta-Lindelöf $GO$-spaces in their linearly ordered extensions are revealed.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

6. Multivariate copulas: transformations, symmetry, order and measures of concordance

Creator:
Fuchs, Sebstian
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
multivariate copulas, transformations, symmetry, order, and measure of concordance
Language:
English
Description:
The present paper introduces a group of transformations on the collection of all multivariate copulas. The group contains a subgroup which is of particular interest since its elements preserve symmetry, the concordance order between two copulas and the value of every measure of concordance.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

7. On the height of order ideals

Creator:
Czédli, Gábor and Maróti, Miklós
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
order, product of chains, ideal of maximum height, and digit sum sequence
Language:
English
Description:
We maximize the total height of order ideals in direct products of finitely many finite chains. We also consider several order ideals simultaneously. As a corollary, a shifting property of some integer sequences, including digit sum sequences, is derived.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

8. The growth of Dirichlet series

Creator:
Gu, Zhendong and Sun, Daochun
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
Dirichlet series, order, and abscissa of convergence
Language:
English
Description:
We define Knopp-Kojima maximum modulus and the Knopp-Kojima maximum term of Dirichlet series on the right half plane by the method of Knopp-Kojima, and discuss the relation between them. Then we discuss the relation between the Knopp-Kojima coefficients of Dirichlet series and its Knopp-Kojima order defined by Knopp-Kojima maximum modulus. Finally, using the above results, we obtain a relation between the coefficients of the Dirichlet series and its Ritt order. This improves one of Yu Jia-Rong's results, published in Acta Mathematica Sinica 21 (1978), 97–118. We also give two examples to show that the condition under which the main result holds can not be weakened.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public