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Springer Hypergroups - Algebraic Theory and Structure Book

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Description

Explore the fundamental principles of algebraic hypergroups with this specialized text from Springer. Based on the original definitions established by F. Marty in 1934, this book offers a thorough algebraic treatment of the subject. It begins by establishing essential structural results, following the established patterns of group theory structure development. Readers will find detailed analysis regarding various concrete classes of hypergroups with small parameters. The text also examines the specific role played by involutions, modeled after group-theoretic definitions, within the broader hypergroup theory. This study includes hypergroups generated by involutions, which lead to the exchange condition, providing a genuine generalization of the group-theoretic exchange condition. This volume serves as a dedicated resource for mathematicians and students focusing on advanced algebra and the evolution of group-like structures.

Key Features

Comprehensive algebraic treatment of hypergroups based on the 1934 F. Marty definitions.

Structural results developed through the lens of group theory structure methods.

Detailed examination of concrete classes of hypergroups using small parameters.

In-depth look at the role of involutions within hypergroup theory.

Analysis of hypergroups generated by involutions and the resulting exchange condition.

Provides a genuine generalization of the group-theoretic exchange condition.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
19 November 2024
Listed Since
20 November 2024

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