TY - JOUR
ID - 113360
TI - From rings to minimal Hv-fields
JO - Journal of Algebraic Hyperstructures and Logical Algebras
JA - JAHLA
LA - en
SN - 2676-6000
AU - Vougiouklis, T.
AD - Emeritus Professor of Mathematics, Democritus University of Thrace, Greece
Y1 - 2020
PY - 2020
VL - 1
IS - 3, Special Issue (AHA2020) Dedicated to Professor Piergiulio Corsini
SP - 1
EP - 14
KW - Hyperstructure
KW - Hv -structure
KW - hope
KW - iso-numbers
KW - hypernumbers
DO - 10.29252/hatef.jahla.1.3.1
N2 - The class of Hv-structures is the largest class of hyperstructures defined on the same set. For this reason, they have applications in mathematics and in other sciences, which range from biology, hadronic physics, leptons, linguistics, sociology, to mention but a few. They satisfy the weak axioms where the non-empty intersection replaces equality. The fundamental relations connect, by quotients, the Hv-structures with the classical ones. In order to specify the appropriate hyperstructure as a model for an application which fulfill a number of properties, the researcher can start from the basic ones. Thus, the researcher must know the minimal hyperstructures. Hv-numbers are elements of Hv-field, and they are used in representation theory. In this presentation we focus on minimal Hv-fields derived from rings.
UR - http://jahla.hatef.ac.ir/article_113360.html
L1 - http://jahla.hatef.ac.ir/article_113360_d47ca5f4bbfb33ccc214c893b3df039f.pdf
ER -