Publisher: Springer; 2003 edition (March 1, 2003)
Format: PDF / Kindle / ePub
Size: 6.5 MB
Downloadable formats: PDF
a few mathematical disciplines could be provided and built within the context of different disciplines, for example Boolean algebras, that Stone has switched over in a department of ring idea, projective geome- attempts, characterised by way of Birkhoff as lattices of a distinct sort, projec- tive, descriptive and round geometries, represented by way of Prenowitz, as multigroups, linear geometries and convex units awarded by way of Jan- tosciak and Prenowitz as subscribe to areas. As Prenowitz and Jantosciak did for geometries, during this e-book we current and research numerous ma- thematical disciplines that use the Hyperstructure idea. because the starting, the Hyperstructure thought and particu- larly the Hypergroup concept, had purposes to a number of domain names. Marty, who brought hypergroups in 1934, utilized them to teams, algebraic services and rational fractions. New functions to teams have been additionally came across between others via Eaton, Ore, Krasner, Utumi, Drbohlav, Harrison, Roth, Mockor, Sureau and Haddad. Connections with different topics of classical natural arithmetic were decided and studied: * Fields through Krasner, Stratigopoulos and Massouros Ch. * Lattices by means of Mittas, Comer, Konstantinidou, Serafimidis, Leoreanu and Calugareanu * jewelry through Nakano, Kemprasit, Yuwaree * Quasigroups and Groupoids via Koskas, Corsini, Kepka, Drbohlav, Nemec * Semigroups by means of Kepka, Drbohlav, Nemec, Yuwaree, Kempra- take a seat, Punkla, Leoreanu * Ordered buildings via Prenowitz, Corsini, Chvalina IX x * Combinatorics through Comer, Tallini, Migliorato, De Salvo, Scafati, Gionfriddo, Scorzoni * Vector areas by way of Mittas * Topology by means of Mittas , Konstantinidou * Ternary Algebras by way of Bandelt and Hedlikova.