The largest class of hyperstructures is the Hv-structures, introduced in 1990, which proved to have a lot of applications in mathematics and several applied sciences, as well. Hyperstructures are used in the Lie-Santilli theory focusing to the hypernumbers, called e-numbers. We present the appropriate e-hyperstuctures which are defined using any map, in the sense the derivative map, called thet...

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The goal of this paper is to present some basic properties of Elattices and their connections with hyperstructure theory. 2000 Mathematics Subject Classification: Primary 06B99, Secondary 20N20.

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...