Starting from the structure of C26 fullerene and by using a series of map operations, a series of hyperstructures were obtained and investigated. A series of measures were performed in order to characterize the obtained hyperstructures and the estimations of the relationship between them were done. Images of two hyperstructures showing greatest informational entropy and lowest energy respective...

In the "ecosystems-first" approach to the origins of life, networks of non-covalent assemblies of molecules (composomes), rather than individual protocells, evolved under the constraints of molecular complementarity. Composomes evolved into the hyperstructures of modern bacteria. We extend the ecosystems-first approach to explain the origin of eukaryotic cells through the integration of mixed p...

Based on works by Davvaz, Vougiouklis and Leoreanu-Fotea in the field of n–ary hyperstructures and binary relations we present a construction of n–ary hyperstructures from binary quasi-ordered semigroups. We not only construct the hyperstructures but also study their important elements such as identities, scalar identities or zeros. We also relate the results to earlier results obtained for a s...

Algebraic hyperstructures have many applications in various sciences. The main purpose of this paper is to provide a new application of weak hyperstructures in Chemistry. More precisely, we present three different examples of hyperstructures associated to electrochemical cells. In which we prove that our hyperstructures are Hv-semigroups and we present some interesting results.

EL–hyperstructures are hyperstructures constructed from singlevalued quasi-ordered semigroups. For some kinds of sets it is difficult to find a meaningful single-valued associative operation which could be used as a basis for constructing the EL–hyperstructure. In this paper we use the systematic approach to define it. We focus on multicomponent sets and briefly mention the n–ary context of the...

The concept of weak algebraic hyperstructures or Hv-structures constitutes a generalization of the well-known algebraic hyperstructures (semihypergroup, hypergroup and so on). The overall aim of this paper is to present an introduction to some of the results, methods and ideas about chemical examples of weak algebraic hyperstructures. In this paper after an introduction of basic definitions and...

The quiver of hyperstructures, especially very large classes of them, can be used in new scientific theories such as Ying’s twin universes. We present the largest class of hyperstructures which can be used as a model to represent the twin universe cosmos as even more new axioms or conditions are considered.

The aim of this paper is to initiate and investigate new (soft) hyperstructures, particularly (soft) join spaces, using important classes of lattices: modular and distributive. They are used in order to study (soft) hyperstructures constructed on the set of all convex sublattices of a lattice.