Groups and Monoids of Regular Graphs (And of Graphs with Bounded Degrees)

1973 ◽  
Vol 25 (2) ◽  
pp. 239-251 ◽  
Author(s):  
Pavol Hell ◽  
Jaroslav Nešetřil
Keyword(s):  
Category Theory ◽  
Main Question ◽  
Regular Graphs ◽  
Group Of Automorphisms ◽  
Automorphisms Of Graphs ◽  
Usual Manner ◽  
The Subject ◽  
Groups Of Automorphisms

A graph X is a set V(X) (the vertices of X) with a system E(X) of 2-element subsets of V(X) (the edges of X). Let X, Y be graphs and f : V(X) → V(Y) a mapping; then/ is called a homomorphism of X into F if [f(x),f(y)] ∈ E(Y) whenever [x,y] ∈ E(X). Endomorphisms, isomorphisms and automorphisms are defined in the usual manner.Much work has been done on the subject of representing groups as groups of automorphisms of graphs (i.e., given a group G, to find a graph X such that the group of automorphisms of X is isomorphic to G). Recently, this was related to category theory, the main question being as to whether every monoid (i.e., semigroup with 1) can be represented as the monoid of endomorphisms of some graph in a given category of graphs.

Model Theory: Geometrical and Set-Theoretic Aspects and Prospects

2003 ◽  
Vol 9 (2) ◽  
pp. 197-212 ◽  
Author(s):  
Angus Macintyre
Keyword(s):  
Model Theory ◽  
Category Theory ◽  
Theoretic Model ◽  
Topos Theory ◽  
Sheaf Theory ◽  
Special Cases ◽  
Algebraic Spaces ◽  
The Subject ◽  
Near Future ◽  
Modern Mathematics

I see model theory as becoming increasingly detached from set theory, and the Tarskian notion of set-theoretic model being no longer central to model theory. In much of modern mathematics, the set-theoretic component is of minor interest, and basic notions are geometric or category-theoretic. In algebraic geometry, schemes or algebraic spaces are the basic notions, with the older “sets of points in affine or projective space” no more than restrictive special cases. The basic notions may be given sheaf-theoretically, or functorially. To understand in depth the historically important affine cases, one does best to work with more general schemes. The resulting relativization and “transfer of structure” is incomparably more flexible and powerful than anything yet known in “set-theoretic model theory”.It seems to me now uncontroversial to see the fine structure of definitions as becoming the central concern of model theory, to the extent that one can easily imagine the subject being called “Definability Theory” in the near future.Tarski's set-theoretic foundational formulations are still favoured by the majority of model-theorists, and evolution towards a more suggestive language has been perplexingly slow. None of the main texts uses in any nontrivial way the language of category theory, far less sheaf theory or topos theory. Given that the most notable interactions of model theory with geometry are in areas of geometry where the language of sheaves is almost indispensable (to the geometers), this is a curious situation, and I find it hard to imagine that it will not change soon, and rapidly.

scholarly journals The Influence of IFRS Adoption

2021 ◽  
Author(s):  
Feng C. Xu
Keyword(s):  
Financial Reporting ◽  
Reporting Quality ◽  
Financial Reporting Quality ◽  
Main Question ◽  
Accounting Disclosure ◽  
Ifrs Adoption ◽  
The Subject

This paper aims to present a thorough theoretical coverage to the subject studied by focusing on the concepts in companies as general, and accounting disclosure, test the selected hypothesis, obtain satisfying results to the research in an appropriate manner that consists with the problem studied and hypotheses, and find a reasonable answer to main question that is (Does IFRS adoption in the large banks improve financial reporting quality?) based on the main hypotheses which are financial reporting quality has not improved after IFRS adoption in the large banks, and financial reporting quality has improved after IFRS adoption in the large banks.

scholarly journals Automorphisms of compact non-orientable Riemann surfaces

1971 ◽  
Vol 12 (1) ◽  
pp. 50-59 ◽  
Author(s):  
D. Singerman
Keyword(s):  
Riemann Surface ◽  
Automorphism Group ◽  
Riemann Surfaces ◽  
Group Of Automorphisms ◽  
Groups Of Automorphisms ◽  
Definition Of ◽  
Orientable Surfaces

Using the definition of a Riemann surface, as given for example by Ahlfors and Sario, one can prove that all Riemann surfaces are orientable. However by modifying their definition one can obtain structures on non-orientable surfaces. In fact nonorientable Riemann surfaces have been considered by Klein and Teichmüller amongst others. The problem we consider here is to look for the largest possible groups of automorphisms of compact non-orientable Riemann surfaces and we find that this throws light on the corresponding problem for orientable Riemann surfaces, which was first considered by Hurwitz [1]. He showed that the order of a group of automorphisms of a compact orientable Riemann surface of genus g cannot be bigger than 84(g – 1). This bound he knew to be attained because Klein had exhibited a surface of genus 3 which admitted PSL (2, 7) as its automorphism group, and the order of PSL(2, 7) is 168 = 84(3–1). More recently Macbeath [5, 3] and Lehner and Newman [2] have found infinite families of compact orientable surfaces for which the Hurwitz bound is attained, and in this paper we shall exhibit some new families.

Groups of automorphisms and centralizers

1990 ◽  
Vol 107 (2) ◽  
pp. 227-238 ◽  
Author(s):  
Alexandre Turull
Keyword(s):  
Solvable Group ◽  
Finite Solvable Group ◽  
Group Of Automorphisms ◽  
Fitting Height ◽  
Groups Of Automorphisms ◽  
The Difference

Let G be a finite solvable group and A a group of automorphisms of G such that (|A|, |G|) = 1. We denote by h(G) the Fitting height of G and by l(A) the length of the longest chain of subgroups of A. Then, under some additional hypotheses, it is known from [5] that h(G) ≤ 2l(A) + h(CG(A)) and from [8] that, when CG(A) = 1, h(G) ≤ l(A), both results being best possible (see [6, 7]). The present paper attempts to explain the difference in the coefficient of l(A) in the two inequalities, from 2 to 1.

scholarly journals IDENTIFIKASI PERMASALAHAN DALAM MENYIMAK BAHASA JEPANG TERKAIT DENGAN BENTUK PILIHAN JAWABAN SOAL YANG DIALAMI MAHASISWA DI BALI

IZUMI ◽  
2015 ◽  
Vol 4 (1) ◽  
pp. 10
Author(s):  
Desak Made Sri Mardani
Keyword(s):  
Fast Response ◽  
The Other ◽  
Main Question ◽  
Listening Test ◽  
Written Form ◽  
The Subject ◽  
Answer Choice ◽  
Different Characteristics

This study aims at investigating the problems in listening test encountered by students of Japanese department in Bali associated with the answer choice of the test. This study was design descriptively in which the subject were 133 Japanese department student of 3rd semester from 3 different universities. The object of this study is the problems encountered by students of Japanese department in Bali associated with the answer choice of the listening test. The result of study showed that the students were easier to answer the test correctly with written form of answer choice. In each main question, it could be seen that the student were easier to find out the answer of ‘fast response’ question than the other main questions. From the analysis of items difficulty it was found that the problems encountered by students in listening were more on items with written answer choice, with different characteristics of the questions.

scholarly journals XII. Studies on biogenesis

1874 ◽  
Vol 164 ◽  
pp. 457-477 ◽  
Keyword(s):  
De Novo ◽  
Main Question ◽  
The Media ◽  
The Subject

The question of the origin of Bacteria and Torulœ lies so deeply at the root of some of the most important problems, not only of biology, but of pathology and practical therapeutics, that I make no apology for bringing forward the fruits of another investigation on the subject. The main question in controversy is whether these organisms originate de novo in the media where they grow, or whether they spring, like higher beings, from germs or parents like themselves.

scholarly journals Right of Access under GDPR and Copyright

2018 ◽  
Vol 12 (2) ◽  
pp. 221-246
Author(s):  
Angela Sobolčiaková
Keyword(s):  
Data Protection ◽  
Copyright Protection ◽  
Personal Data ◽  
Case Law ◽  
Main Question ◽  
The Subject ◽  
The Right ◽  
Access Right ◽  
Right Of Access ◽  
Data Subject

The paper discusses the right to obtain a copy of personal data based on the access right guaranteed in Articles 15 (3) and limited in 15 (4) of the GDPR. Main question is to what extent, the access right provided to data subject under the data protection rules is compatible with copyright. We argue that the subject matter of Article 15 (3) of the GDPR - copy of personal data – may infringe copyright protection of third parties but not a copyright protection attributed to the data controllers.Firstly, because the right of access and copyright may be in certain circumstances incompatible. Secondly, the data controllers are primarily responsible for balancing conflicting rights and neutral balancing exercise could only be applied by the Data Protection Authorities. Thirdly, the case law of the CJEU regarding this issue will need to be developed because the copy as a result of access right may be considered as a new element in data protection law.

scholarly journals “I would like to see that one is able to say I’m proud of being a citizen of the EU…” – the way Hungarian people see Europe and the European Union

2012 ◽  
Vol 3 (1) ◽  
pp. 111-135
Author(s):  
Borbála Göncz
Keyword(s):  
European Union ◽  
Cost Benefit Analysis ◽  
Cost Benefit ◽  
Main Question ◽  
The European Union ◽  
The Subject ◽  
People’S Attitudes ◽  
Emotional Approach ◽  
The Eu ◽  
The Way

This paper explores the concepts of Europe, Europeanism and European Union, their meaning to Hungarians, how people define them and how they relate to these concepts through the analysis of qualitative in-depth interviews. The main question is whether the discourse, expressing attitudes towards Europe and the European Union, are of symbolic or utilitarian character. The symbolic way to relate to the EU is based on principles, an ideological or an emotional approach of the subject, while the pragmatic or utilitarian logic is based on rational cost-benefit analysis. The main argument of this current paper is that the way Hungarians tend to relate to the EU is rather utilitarian and it is the utilitarian logic that represents the relevant frame to understand people’s attitudes on the subject.

scholarly journals The violent intentionality of sublime

2019 ◽  
Vol 62 (2) ◽  
pp. 53-68
Author(s):  
Igor Cvejic
Keyword(s):  
Emotional Experience ◽  
Conscious Experience ◽  
Alternative Interpretation ◽  
The State ◽  
Final Part ◽  
Main Question ◽  
The Subject

The main question in this paper is if (and how) in Kant?s theory of sublime the object could be integrated into an emotional experience. In order to understand this problem, the ambivalent Kant?s claims will be addressed: (1) about the object as sublime and (2) that correctly understood it is not an object, but the state of the subject which is sublime. The latter thesis could be even strengthened with accompanying claim about formlessness of the object, which implies that this object can not be a part of conscious experience. Further, I will discuss Kant?s thesis about a subreption of a respect for the object instead of for the idea of humanity in our subject, as well as various interpretations of it. In the final part of the paper, I will introduce alternative interpretation which could give us a more plausible outline about the intentionality of the feeling of sublime. My claim is that Kant uses language available to him in order to state that in sublime there is no object of cognition in conscious experience. However, the object is constituted as an object of the violent emotional intentionality - sensibility brought under ideas of reason.

scholarly journals Health education for disease prevention: a review of the literature

2021 ◽  
pp. 134-147
Author(s):  
José Valdeci Almeida Gitirana ◽  
Rosa Maria Batista Pinheiro da Fonseca ◽  
Fábio Marmentini Piloneto ◽  
Luis Felipe Gaia Bevilaqua ◽  
Ingrid de Assis ◽  
...  
Keyword(s):  
Health Education ◽  
Disease Prevention ◽  
Preventive Measures ◽  
School Curriculum ◽  
Health Centers ◽  
Main Question ◽  
Government Programs ◽  
The Subject ◽  
Self Knowledge

Currently public policies, government actions and different programs involving Health Education (HE) are carried out in favor of population health. With regard to the theme of HE, this is a multifaceted theme, convergent to various personal conceptions, whether in the area of education or health, which may result in divergent understandings. Due to the complexity of the theme, the problem occurs due to the lack of understanding of what is really population-facing HE, dissolving the importance of HE for preventive measures against different diseases, which generates a high budgetary cost in public health. In view of this context, this article has as its main question: How can health education contribute to the prevention of diseases in the population? The study aimed to present the HE for Disease Prevention (DP), branching out in addressing its concepts, as well as highlighting the legal bases that ensure the HE to the population. To this end, the study was conducted through a literature review by the search sites "Google Scholar", "Scielo" and "PubMed". Through the descriptors: Health Education; Health education as disease prevention; Health Education for the population, where studies were chosen that presented the HE focused on DP. It is concluded that The HE is the education for self-knowledge and reflection on their own health, as well as the full awareness that something goes wrong, attributing the critical reflection of the subject regarding their habits and preventive measures. It is applied through the school curriculum from primary school as well as by government programs in health centers, in order to educate society to raise awareness about preventive measures and promote a better quality of life, thus preventing the spread of diseases.

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