Applications of Hyperstructure Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Springer US
2003
|
| Schriftenreihe: | Advances in Mathematics
5 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 geometries, characterized by Birkhoff as lattices of a special type, projective, descriptive and spherical geometries, represented by Prenowitz, as multigroups, linear geometries and convex sets presented by Jantosciak and Prenowitz as join spaces. As Prenowitz and Jantosciak did for geometries, in this book we present and study several mathematical disciplines that use the Hyperstructure Theory. Since the beginning, the Hyperstructure Theory and particularly 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, Kemprasit, 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 |
| Beschreibung: | 1 Online-Ressource (XII, 322 p) |
| ISBN: | 9781475737141 9781441952455 |
| DOI: | 10.1007/978-1-4757-3714-1 |
Internformat
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| 490 | 1 | |a Advances in Mathematics |v 5 | |
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Datensatz im Suchindex
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|---|---|
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| author | Corsini, Piergiulio |
| author_facet | Corsini, Piergiulio |
| author_role | aut |
| author_sort | Corsini, Piergiulio |
| author_variant | p c pc |
| building | Verbundindex |
| bvnumber | BV042421515 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)863956180 (DE-599)BVBBV042421515 |
| dewey-full | 512.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.2 |
| dewey-search | 512.2 |
| dewey-sort | 3512.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4757-3714-1 |
| format | Electronic eBook |
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| id | DE-604.BV042421515 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:09Z |
| institution | BVB |
| isbn | 9781475737141 9781441952455 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027856932 |
| oclc_num | 863956180 |
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| physical | 1 Online-Ressource (XII, 322 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
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| publisher | Springer US |
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| series | Advances in Mathematics |
| series2 | Advances in Mathematics |
| spelling | Corsini, Piergiulio Verfasser aut Applications of Hyperstructure Theory by Piergiulio Corsini, Violeta Leoreanu Boston, MA Springer US 2003 1 Online-Ressource (XII, 322 p) txt rdacontent c rdamedia cr rdacarrier Advances in Mathematics 5 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 geometries, characterized by Birkhoff as lattices of a special type, projective, descriptive and spherical geometries, represented by Prenowitz, as multigroups, linear geometries and convex sets presented by Jantosciak and Prenowitz as join spaces. As Prenowitz and Jantosciak did for geometries, in this book we present and study several mathematical disciplines that use the Hyperstructure Theory. Since the beginning, the Hyperstructure Theory and particularly 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, Kemprasit, 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 Mathematics Computational complexity Group theory Algebra Combinatorics Logic, Symbolic and mathematical Group Theory and Generalizations Mathematical Logic and Foundations Discrete Mathematics in Computer Science Order, Lattices, Ordered Algebraic Structures Mathematik Leoreanu, Violeta Sonstige oth Advances in Mathematics 5 (DE-604)BV025360563 5 https://doi.org/10.1007/978-1-4757-3714-1 Verlag Volltext |
| spellingShingle | Corsini, Piergiulio Applications of Hyperstructure Theory Advances in Mathematics Mathematics Computational complexity Group theory Algebra Combinatorics Logic, Symbolic and mathematical Group Theory and Generalizations Mathematical Logic and Foundations Discrete Mathematics in Computer Science Order, Lattices, Ordered Algebraic Structures Mathematik |
| title | Applications of Hyperstructure Theory |
| title_auth | Applications of Hyperstructure Theory |
| title_exact_search | Applications of Hyperstructure Theory |
| title_full | Applications of Hyperstructure Theory by Piergiulio Corsini, Violeta Leoreanu |
| title_fullStr | Applications of Hyperstructure Theory by Piergiulio Corsini, Violeta Leoreanu |
| title_full_unstemmed | Applications of Hyperstructure Theory by Piergiulio Corsini, Violeta Leoreanu |
| title_short | Applications of Hyperstructure Theory |
| title_sort | applications of hyperstructure theory |
| topic | Mathematics Computational complexity Group theory Algebra Combinatorics Logic, Symbolic and mathematical Group Theory and Generalizations Mathematical Logic and Foundations Discrete Mathematics in Computer Science Order, Lattices, Ordered Algebraic Structures Mathematik |
| topic_facet | Mathematics Computational complexity Group theory Algebra Combinatorics Logic, Symbolic and mathematical Group Theory and Generalizations Mathematical Logic and Foundations Discrete Mathematics in Computer Science Order, Lattices, Ordered Algebraic Structures Mathematik |
| url | https://doi.org/10.1007/978-1-4757-3714-1 |
| volume_link | (DE-604)BV025360563 |
| work_keys_str_mv | AT corsinipiergiulio applicationsofhyperstructuretheory AT leoreanuvioleta applicationsofhyperstructuretheory |