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Polygroup Theory and Related Systems: Theory and Use of Parameterized Adaptive Multidimensional Integration Routines

Autor Bijan Davvaz
en Limba Engleză Hardback – 27 sep 2012
Suitable for the study of Polygroup Theory, this book begins with some basic results concerning group theory and algebraic hyperstructures, which represent the most general algebraic context, in which reality can be modeled. It is recommended to theoreticians in pure and applied mathematics.
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Specificații

ISBN-13: 9789814425308
ISBN-10: 9814425303
Pagini: 208
Ilustrații: black & white illustrations
Dimensiuni: 155 x 229 x 23 mm
Greutate: 0.52 kg
Editura: World Scientific Publishing Company

Cuprins

A Brief Excursion into Group Theory; Hypergroups: Definitions and Examples of Hypergroups; Some Kinds of Subhypergroups; Homomorphism of Hypergroups; Regular and Strongly Regular Relations; Complete Hypergroups; Join Spaces; Polygroups: Definition and Examples of Polygroups; Extensions of Polygroups by Polygroups; Subpolygroups and Quotient Polygroups; Isomorphism Theorem of Polygroups; γ* Relation on Polygroups; Generalized Permutation; Permutation Polygroups; Representation of Polygroups; Polygroup Hyperrings; Solvable Polygroups; Nilpotent Polygroups; Weak Polygroups: Weak Hyperstructures; Weak Polygroups; Fundamental Relation on Weak Polygroups; Small Weak Polygroups; Combinatorial Aspects of Polygroups: Chromatic Polygroups; Polygroups Derived from Cogroups; Conjugation Lattice.