Download e-book for kindle: Applications of Hyperstructure Theory (Advances in by P. Corsini,V. Leoreanu

By P. Corsini,V. Leoreanu

a few mathematical disciplines could be offered and built within the context of alternative disciplines, for example Boolean algebras, that Stone has switched over in a department of ring concept, projective geome attempts, characterised via Birkhoff as lattices of a different kind, projec tive, descriptive and round geometries, represented through Prenowitz, as multigroups, linear geometries and convex units awarded via Jan tosciak and Prenowitz as sign up for areas. As Prenowitz and Jantosciak did for geometries, during this ebook we current and research numerous ma thematical disciplines that use the Hyperstructure concept. because the starting, the Hyperstructure thought and particu larly the Hypergroup idea, had functions to a number of domain names. Marty, who brought hypergroups in 1934, utilized them to teams, algebraic features and rational fractions. New purposes to teams have been additionally chanced on between others via Eaton, Ore, Krasner, Utumi, Drbohlav, Harrison, Roth, Mockor, Sureau and Haddad. Connections with different matters of classical natural arithmetic were decided and studied: Fields by means of Krasner, Stratigopoulos and Massouros Ch. Lattices by way of Mittas, Comer, Konstantinidou, Serafimidis, Leoreanu and Calugareanu jewelry by means of Nakano, Kemprasit, Yuwaree Quasigroups and Groupoids through Koskas, Corsini, Kepka, Drbohlav, Nemec Semigroups through Kepka, Drbohlav, Nemec, Yuwaree, Kempra sit down, Punkla, Leoreanu Ordered constructions through Prenowitz, Corsini, Chvalina IX x Combinatorics via Comer, Tallini, Migliorato, De Salvo, Scafati, Gionfriddo, Scorzoni Vector areas by means of Mittas Topology via Mittas, Konstantinidou Ternary Algebras by means of Bandelt and Hedlikova.

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Applications of Hyperstructure Theory (Advances in Mathematics) by P. Corsini,V. Leoreanu

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