عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9781441952455
(Number (ISBN
9781475737141
NATIONAL BIBLIOGRAPHY NUMBER
Number
b402373
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Applications of Hyperstructure Theory
General Material Designation
[Book]
First Statement of Responsibility
by Piergiulio Corsini, Violeta Leoreanu.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Boston, MA :
Name of Publisher, Distributor, etc.
Imprint: Springer,
Date of Publication, Distribution, etc.
2003.
SERIES
Series Title
Advances in Mathematics ;
Volume Designation
5
CONTENTS NOTE
Text of Note
Basic notions and results on Hyperstructure Theory -- 1 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.
0
SUMMARY OR ABSTRACT
Text of Note
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.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9781441952455
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Algebra.
Combinatorics.
Computational complexity.
Group theory.
Logic, Symbolic and mathematical.
Mathematics.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Corsini, Piergiulio.
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Leoreanu, Violeta.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20190301074100.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
