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

By P. Corsini,V. Leoreanu

ISBN-10: 1402012225

ISBN-13: 9781402012228

ISBN-10: 1441952454

ISBN-13: 9781441952455

a few mathematical disciplines might be awarded and built within the context of different disciplines, for example Boolean algebras, that Stone has switched over in a department of ring conception, projective geome attempts, characterised by means of Birkhoff as lattices of a distinct kind, projec tive, descriptive and round geometries, represented by means of Prenowitz, as multigroups, linear geometries and convex units provided by means of Jan tosciak and Prenowitz as subscribe to areas. As Prenowitz and Jantosciak did for geometries, during this ebook we current and learn a number of ma thematical disciplines that use the Hyperstructure concept. because the starting, the Hyperstructure concept and particu larly the Hypergroup conception, had purposes to numerous domain names. Marty, who brought hypergroups in 1934, utilized them to teams, algebraic capabilities and rational fractions. New purposes to teams have been additionally came across between others through 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 way of Mittas, Comer, Konstantinidou, Serafimidis, Leoreanu and Calugareanu earrings via Nakano, Kemprasit, Yuwaree Quasigroups and Groupoids by way of Koskas, Corsini, Kepka, Drbohlav, Nemec Semigroups by way of Kepka, Drbohlav, Nemec, Yuwaree, Kempra take a seat, Punkla, Leoreanu Ordered constructions by way of Prenowitz, Corsini, Chvalina IX x Combinatorics through Comer, Tallini, Migliorato, De Salvo, Scafati, Gionfriddo, Scorzoni Vector areas through Mittas Topology through 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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