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Springer Hypergroups - Springer Algebraic Structure Theory Book

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Description

Hypergroups offers a comprehensive algebraic treatment of hypergroups as originally defined by F. Marty in 1934, providing a structured exploration of this advanced mathematical concept. The book begins with foundational structural results developed along the lines of classical group structure theory, establishing key theoretical frameworks. It then progresses to examine concrete classes of hypergroups with small parameters, offering practical examples and applications. A significant portion focuses on the role of involutions within hypergroup theory, modeled after group-theoretic involutions, leading to the exchange condition which serves as a genuine generalisation of the group-theoretic exchange condition. This Springer publication is ideal for mathematicians and researchers seeking a rigorous, organised introduction to hypergroup theory and its applications in abstract algebra.

Key Features

Comprehensive algebraic treatment of hypergroups based on F. Marty's 1934 definition, providing rigorous mathematical foundations.

Structural results developed along the lines of classical group structure theory for comparative understanding and theoretical depth.

Examination of concrete classes of hypergroups with small parameters, offering practical examples and real-world applications.

Detailed exploration of involutions within hypergroup theory and their role in developing the exchange condition.

Springer publication delivering authoritative, peer-reviewed mathematical content for advanced students and research mathematicians.

Product Specifications

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

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