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A Walk Through Weak Hyperstructures (eBook)

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  • 87,883 Words
  • 348 Pages

Hyperstructures represent a natural extension of classical algebraic structures. They were introduced in 1934 by the French mathematician Marty. Since then, hundreds of papers published on this subject. This book is devoted to the study of weak hyperstructures with natural examples. It begins with some basic results, which represent the most general algebraic context, in which reality can be modelled. There are also applications in natural science (Biology, Chemistry and Physics).

The authors of the book are experts and well known on this theory. Most results on weak hyperstructures are collected in this book. The overall strength of the book is in its presentation and introduction to some of the results, methods and ideas about weak hyperstructures.

Contents:
  • Fundamentals of Algebraic Structures
  • Algebraic Hyperstructures
  • Hv-Groups
  • Hv-Rings
  • Hv-Modules
  • Hyperalgebra and Lie-Santilli Theory
  • Outline of Applications and Modeling

Readership: Mathematics graduate students and researchers in hyperstructures.Hyperstructure;Hypergroup;Hyperring;HyperModule;Weak Hyperstructure;Hv-Group;Hv-Ring;Hv-Module0Key Features:
  • Many researchers and post-graduate students are interested in Hv-structure theory
  • Most results on Hv-structure theory are collected in this monograph
  • Applications in Chemistry, Biology and Physics are presented

Hyperstructures represent a natural extension of classical algebraic structures. They were introduced in 1934 by the French mathematician Marty. Since then, hundreds of papers published on this subject. This book is devoted to the study of weak hyperstructures with natural examples. It begins with some basic results, which represent the most general algebraic context, in which reality can be modelled. There are also applications in natural science (Biology, Chemistry and Physics).

The authors of the book are experts and well known on this theory. Most results on weak hyperstructures are collected in this book. The overall strength of the book is in its presentation and introduction to some of the results, methods and ideas about weak hyperstructures.

Contents:
  • Fundamentals of Algebraic Structures
  • Algebraic Hyperstructures
  • Hv-Groups
  • Hv-Rings
  • Hv-Modules
  • Hyperalgebra and Lie-Santilli Theory
  • Outline of Applications and Modeling

Readership: Mathematics graduate students and researchers in hyperstructures.Hyperstructure;Hypergroup;Hyperring;HyperModule;Weak Hyperstructure;Hv-Group;Hv-Ring;Hv-Module0Key Features:
  • Many researchers and post-graduate students are interested in Hv-structure theory
  • Most results on Hv-structure theory are collected in this monograph
  • Applications in Chemistry, Biology and Physics are presented


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