Krasner Hyperring Theory

Bijan Davvaz, Violeta Leoreanu-fotea (Autoren)

Buch | Hardcover

308 Seiten

2024
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-12-8540-0 (ISBN)

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The theory of algebraic hyperstructures, in particular the theory of Krasner hyperrings, has seen a spectacular development in the last 20 years, which is why a book dedicated to the study of these is so vital. Krasner hyperrings are a generalization of hyperfields, introduced by Krasner in order to study complete valued fields. A Krasner hyperring (R, +, .) is an algebraic structure, where (R, +) is a canonical hypergroup, (R, .) is a semigroup having zero as a bilaterally absorbing element and the multiplication is distributive with respect to the hyperoperation +.Krasner Hyperring Theory presents an elaborate study on hyperstructures, particularly Krasner hyperrings, across 10 chapters with extensive examples. It contains the results of the authors, but also of other researchers in the field, focusing especially on recent research. This book is especially addressed to doctoral students or researchers in the field, as well as to all those interested in this interesting part of algebra, with applications in other fields.

Erscheinungsdatum	27.02.2024
Verlagsort	Singapore
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	981-12-8540-3 / 9811285403
ISBN-13	978-981-12-8540-0 / 9789811285400
Zustand	Neuware