h_v-fields, h/v-fields
Clicks: 237
ID: 240823
2017
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Abstract
Last decades the hyperstructures have a lot of applications in mathematics and in other sciences. These applications range from biomathematics and hadronic physics to linguistic and sociology. For applications the largest class of the hyperstructures, the H v -structures, is used, they satisfy the weak axioms where the non-empty intersection replaces the equality. The main tools in the theory of hyperstructures are the fundamental relations which connect, by quotients, the H v -structures with the corresponding classical ones. These relations are used to define hyperstructures as H v -fields, H_v-vector spaces and so on, as well. The extension of the reproduction axiom, from elements to fundamental classes, introduces the extension of H_v-structures to the class of h/v-structures. We focus our study mainly in the relation of these classes and we present some constructions on them.
| Reference Key |
vougiouklis2017ratioh_v-fields,
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|---|---|
| Authors | ;Thomas Vougiouklis |
| Journal | dokuz eylül Üniversitesi İktisadi ve İdari bilimler fakültesi dergisi |
| Year | 2017 |
| DOI |
10.23755/rm.v33i0.386
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