APPLICATIONS OF HYPERSTRUCTURE THEORY (ADVANCES IN MATHEMATICS ; VOLUME 5)
Corsini, Piergiulio; Leoreanu, Violeta
ISBN 10: 1441952454 ISBN 13: 9781441952455
Published by Kluwer Academic Publishers, dordrecht, 2010
Used
Softcover
From
Second Story Books, ABAA, Rockville, MD, U.S.A.
Seller rating 4 out of 5 stars
Heritage Bookseller
AbeBooks member since 1996
This specific item is no longer available.
About this Item
Description:
Octavo, xii, 322 pages. In Good plus condition. Spine is blue with white print. Cover has slight bump to front lower fore corner. NOTE: Shelved in Locked Annex Area, ND-HV Section. 1379475. FP New Rockville Stock. Seller Inventory # 1379475
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.
"About this title" may belong to another edition of this title.
Bibliographic Details
Title: APPLICATIONS OF HYPERSTRUCTURE THEORY (...
Publisher: Kluwer Academic Publishers, dordrecht
Publication Date: 2010
Binding: Softcover