Special Elements in H_v - Structures

Από το τεύχος 48 του περιοδικού Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

The hyperstructures are algebraic structures endowed with at least one hyperoperation. We focus on H_v - structures which are generalized algebraic hyperstructures where, in the axioms of the classical hyperstructures, the equality is replaced by the non ? empty intersection. These axioms are called weak. The hyperstructures are classified according to their properties and they correspond to the classical structures by using the fundamental quotients. In the procedure to describe the fundamental relations, special elements appear. These elements are the elements of the core and the so ? called single ones, which are used to define and to study the H_v - structures. In this paper we present some applications on the above argument.

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