Applications of Hyperstructure Theory
(Sprache: Englisch)
Some mathematical disciplines can be presented and developed in the context of other disciplines, for instance Boolean algebras, that Stone has converted in a branch of ring theory, projective geome tries, characterized by Birkhoff as lattices of a special...
Leider schon ausverkauft
versandkostenfrei
Buch
203.25 €
Produktdetails
Produktinformationen zu „Applications of Hyperstructure Theory “
Klappentext zu „Applications of Hyperstructure Theory “
Some mathematical disciplines can be presented and developed in the context of other disciplines, for instance Boolean algebras, that Stone has converted in a branch of ring theory, projective geome tries, characterized by Birkhoff as lattices of a special type, projec tive, descriptive and spherical geometries, represented by Prenowitz, as multigroups, linear geometries and convex sets presented by Jan tosciak and Prenowitz as join spaces. As Prenowitz and Jantosciak did for geometries, in this book we present and study several ma thematical disciplines that use the Hyperstructure Theory. Since the beginning, the Hyperstructure Theory and particu larly the Hypergroup Theory, had applications to several domains. Marty, who introduced hypergroups in 1934, applied them to groups, algebraic functions and rational fractions. New applications to groups were also found among others by Eaton, Ore, Krasner, Utumi, Drbohlav, Harrison, Roth, Mockor, Sureau and Haddad. Connections with other subjects of classical pure Mathematics have been determined and studied: Fields by Krasner, Stratigopoulos and Massouros Ch. Lattices by Mittas, Comer, Konstantinidou, Serafimidis, Leoreanu and Calugareanu Rings by Nakano, Kemprasit, Yuwaree Quasigroups and Groupoids by Koskas, Corsini, Kepka, Drbohlav, Nemec Semigroups by Kepka, Drbohlav, Nemec, Yuwaree, Kempra sit, Punkla, Leoreanu Ordered Structures by Prenowitz, Corsini, Chvalina IX x Combinatorics by Comer, Tallini, Migliorato, De Salvo, Scafati, Gionfriddo, Scorzoni Vector Spaces by Mittas Topology by Mittas , Konstantinidou Ternary Algebras by Bandelt and Hedlikova.
Inhaltsverzeichnis zu „Applications of Hyperstructure Theory “
- Introduction1. Some topics of Geometry
2. Graphs and Hypergraphs
3. Binary Relations
4. Lattices
5. Fuzzy sets and rough sets
6. Automata
7. Cryptography
8. Codes
9. Median algebras, Relation algebras, C-algebras
10. Artificial Intelligence
11. Probabilities
- Bibliography
Bibliographische Angaben
- Autoren: P. Corsini , V. Leoreanu
- 2007, 322 Seiten, Maße: 23,5 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 1402012225
- ISBN-13: 9781402012228
Sprache:
Englisch
Kommentar zu "Applications of Hyperstructure Theory"
0 Gebrauchte Artikel zu „Applications of Hyperstructure Theory“
Zustand | Preis | Porto | Zahlung | Verkäufer | Rating |
---|
Schreiben Sie einen Kommentar zu "Applications of Hyperstructure Theory".
Kommentar verfassen