scholarly journals An Overview of the Foundations of the Hypergroup Theory

Mathematics ◽  
2021 ◽  
Vol 9 (9) ◽  
pp. 1014
Author(s):  
Christos Massouros ◽  
Gerasimos Massouros
Keyword(s):  
Group Theory ◽  
Abstract Algebra ◽  
Special Issue ◽  
Abstract Group ◽  
Structural Relation ◽  
Fundamental Properties ◽  
Theory Versus ◽  
In The Beginning

This paper is written in the framework of the Special Issue of Mathematics entitled “Hypercompositional Algebra and Applications”, and focuses on the presentation of the essential principles of the hypergroup, which is the prominent structure of hypercompositional algebra. In the beginning, it reveals the structural relation between two fundamental entities of abstract algebra, the group and the hypergroup. Next, it presents the several types of hypergroups, which derive from the enrichment of the hypergroup with additional axioms besides the ones it was initially equipped with, along with their fundamental properties. Furthermore, it analyzes and studies the various subhypergroups that can be defined in hypergroups in combination with their ability to decompose the hypergroups into cosets. The exploration of this far-reaching concept highlights the particularity of the hypergroup theory versus the abstract group theory, and demonstrates the different techniques and special tools that must be developed in order to achieve results on hypercompositional algebra.

scholarly journals Nurturing the historic turn: “history as theory” versus “history as method”

2019 ◽  
Vol 25 (4) ◽  
pp. 429-443 ◽  
Author(s):  
Wim Van Lent ◽  
Gabrielle Durepos
Keyword(s):  
Design Methodology ◽  
Methodological Pluralism ◽  
Special Issue ◽  
Organization Studies ◽  
Content Type ◽  
Theoretical Contribution ◽  
Current Climate ◽  
Theory Versus

Purpose This paper aims to explore the turn in management and organization studies (MOS) and reflect on “history as theory” versus “history as method”. Design/methodology/approach Looking at previous research and the evolution of MOS, this paper situates the special issue papers in the current climate of this area of research. Findings The special issue papers included here each make a theoretical contribution to methodology in historical organization studies. Originality/value The eight articles featured in the special issue offer examples of innovative and historically sensitive methodology that, according to the authors, increase the management historian toolkit and ultimately enhance the methodological pluralism of historical organization studies as a field.

Operational Systems and Checker Games

1967 ◽  
Vol 60 (8) ◽  
pp. 832-836
Author(s):  
Hans-Georg Steiner
Keyword(s):  
Group Theory ◽  
Secondary School ◽  
Group Structure ◽  
School Level ◽  
Fundamental Properties ◽  
Elementary Group ◽  
Secondary School Level ◽  
Operational Systems

In the teaching of graphs and elementary group theory at the secondary school level it is important to use intuitive and operative material in which group structure is involved. Working with materials can help to deepen the understanding or even lead the student to a first observation of the fundamental properties of a group.

The Founding of The China Quarterly

1995 ◽  
Vol 143 ◽  
pp. 692-696 ◽  
Author(s):  
Roderick MacFarquhar
Keyword(s):  
United States ◽  
The United States ◽  
Special Issue ◽  
Congress For Cultural Freedom ◽  
Special Supplement ◽  
Chinese Intellectuals ◽  
In The Beginning ◽  
Cultural Freedom

In the beginning was Soviet Survey, published in London by the Paris-based Congress for Cultural Freedom (CCF). The Hundred Flowers episode sparked a special issue, the communes a special supplement. The editors of Soviet Survey persuaded Paris HQ that China had become interesting enough to merit its own journal. I had contributed to the Soviet Survey Hundred Flowers issue and in 1958 the CCF had commissioned me to prepare a documentary volume on the theme (The Hundred Flowers Campaign and the Chinese Intellectuals in the United States). In early 1959, Walter Laqueur, then Soviet Survey's principal editor, asked me to edit a new journal on China.

The Research and Design of Trusted Cloud Computing Platform Based on Group Theory

2013 ◽  
Vol 756-759 ◽  
pp. 867-871
Author(s):  
Ying Yang ◽  
Xue Hang Shao
Keyword(s):  
Cloud Computing ◽  
Group Theory ◽  
General Structure ◽  
Abstract Algebra ◽  
Public Key ◽  
Public Key Cryptosystems ◽  
Computing Platform ◽  
Cloud Computing Platform ◽  
The Cost ◽  
Research And Design

The cloud computing can greatly reduce the cost of computing, but is unable to ensure either the integrality or the confidentiality of data and calculation. Therefore, this paper considers of the safety of cloud computing, combining the thought of abstract algebra group theory in modern algebra, puts forward TCCPoGT (trusted cloud computing platform based on group theory) that designs in many different respects,such as general structure, public key cryptosystems and node management,etc. The analysis results show that the platform TCCPoGT can insure service security.

scholarly journals Anaerobic bacteria

2015 ◽  
Vol 36 (3) ◽  
pp. 103
Author(s):  
Dena Lyras ◽  
Julian I Rood
Keyword(s):  
Microbial Ecology ◽  
Anaerobic Bacteria ◽  
Bacterial Pathogenesis ◽  
Food Microbiology ◽  
Special Issue ◽  
The Earth ◽  
In The Beginning

In the beginning there was no oxygen. The anaerobes ruled the earth at that time and they continue to play an important role in our oxygenated world, in food microbiology, microbial ecology and bacterial pathogenesis. Welcome to this special issue of Microbiology Australia, which is dedicated to anaerobic microbes.

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