Applications of Hyperstructure Theory (Advances in Mathematics, 5) - Hardcover
Book 3 of 6: Advances in Mathematics
Synopsis
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.
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APPLICATIONS OF HYPERSTRUCTURE THEORY
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 340 pp. Englisch. Seller Inventory # 9781402012228
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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Introduction. Basic notions and results on Hyperstructure Theory. 1: Some topics of Geometry. 1. Descriptive geometries and join spaces. 2. Spherical geometries and join spaces. 3. Projective geometries and join spaces. 4. Multivalued loops and projecti. Seller Inventory # 4092420
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Buch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 340 pp. Englisch. Seller Inventory # 9781402012228
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9781402012228
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