Springer Hypergroups - Algebraic Theory and Structure Book

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.