Semihypergroup Theory

ISBN-13: 9780128098158 / Angielski / Miękka / 2016 / 164 str.

Bijan Davvaz

Opis

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

Recenzje

"At present, the theory of semihypergroups is one of the most active fields of research in the area of hyperalgebraic structures. The book under review covers most of the mathematical ideas and techniques required in the study of semihypergroups. The book includes a number of topics, most of which reflect the author's past research and thus provide a starting point for future research directions. Moreover, this is the first book presenting this theory." --MathSciNet

"This is the first book that specially introduces the concept of semihypergroup theory.The book exhaustively covers all concepts of semihypergroups and I believe that it could be a suitable reference for researchers." --Zentralblatt MATH

Spis treści

Chapter 1: A Brief Excursion Into Semigroup Theory

Chapter 2: Semihypergroups

Chapter 3: Ordered Semihypergroups

Chapter 4: Fundamental Relations

Chapter 5: Conclusion

O autorze

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.