Semihypergroup Theory [Paperback]

Semihypergroup Theory is the first book devoted to the semihypergroup theory and it includes basic results concerning semigroup theory and algebraic hyperstructures, which represent the most general algebraic context in which reality can be modelled.

Hyperstructures represent a natural extension of classical algebraic structures and they were introduced in 1934 by the French mathematician Marty. Since then, hundreds of papers have been published on this subject.

• Offers the first book devoted to the semihypergroup theory
• Presents an introduction to recent progress in the theory of semihypergroups
• Covers most of the mathematical ideas and techniques required in the study of semihypergroups
• Employs the notion of fundamental relations to connect semihypergroups to semigroups

Chapter 1: A Brief Excursion Into Semigroup Theory

Chapter 2: Semihypergroups

Chapter 3: Ordered Semihypergroups

Chapter 4: Fundamental Relations

Chapter 5: Conclusion

This first book devoted to the semihypergroup theory includes basic results concerning semigroup theory and algebraic hyperstructures, which represent the most general algebraic context in which reality can be modelled.

Professor Bijan Davvaz took his B.Sc. degree in Applied Mathematics at Shiraz University, Iran in 1988 and his M.Sc. degree in Pure Mathematics at Tehran University in 1990. In 1998, he received his Ph.D. in Mathematics at TarbiatModarres University. He is a member of Editorial Boards of 20 Mathematical journals. He is author of around 350 research papers, especially on algebraic hyperstructures and their applications. Moreover, he published five books in algebra. He is currently Professor of Mathematics at Yazd University in Iran.<lC