Results 21 to 30 of about 1,071 (79)
On the Borderline of Fields and Hyperfields
Mathematics, 2023 The hyperfield came into being due to a mathematical necessity that appeared during the study of the valuation theory of the fields by M. Krasner, who also defined the hyperring, which is related to the hyperfield in the same way as the ring is related ...
Christos G. Massouros +1 more
doaj +1 more source
Refined neutrosophic quadruple (po-)hypergroups and their fundamental group [PDF]
Neutrosophic Sets and Systems, 2019 After introducing the notion of hyperstructures about 80 years ago by F. Marty, a number of researches on its theory, generalization, and it’s applications have been done.
M. Al-Tahan, B. Davvaz
doaj +1 more source
On special weak free (semi)hypergroups [PDF]
Journal of Hyperstructures, 2013 In this paper, we study some properties of special weak free (semi)hypergroups and we generalize the Nielsen-Schreier theorem for the class of special weak free hypergroups.
Morteza Jafarpour, Abdolah Chashiyani
doaj +1 more source
Reducibility in Corsini hypergroups
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this paper, we study the reducibility property of special hyper-groups, called Corsini hypergroups, named after the mathematician who introduced them.
Kankaras Milica
doaj +1 more source
, 2021 Bu tezin genel amacı devirli hipergrupların alt hipergruplarının özelliklerini araştırmaktır. Çalışma üç ana bölümden oluşmaktadır. Birinci bölümde devirli hipergruplar üzerine literatürde bulunan çalışmalara yer verilmiştir.
Erol, Sümeyye
core +1 more source
Hyperstructures and some of the most recent applications [PDF]
Journal of Hyperstructures, 2017 After a brief history of Hypergroups, since the beginning around the 40s till today, one gives an excursus of the most recent applications of this topic to Fuzzy Sets and Chinese groups as HX-hypergroups.
Piergiulio Corsini
doaj +1 more source
From Automata to Multiautomata via Theory of Hypercompositional Structures
Mathematics, 2021 In this paper, we study two important problems related to quasi-multiautomata: the complicated nature of verification of the GMAC condition for systems of quasi-multiautomata, and the fact that the nature of quasi-multiautomata has deviated from the ...
Štěpán Křehlík +2 more
doaj +1 more source
On the semi-sub-hypergroups of a hypergroup
International Journal of Mathematics and Mathematical Sciences, 1991 In this paper we study some properties of the semi-sub-hypergroups and the closed sub-hypergroups of the hypergroups. We introduce the correlated elements and the fundamental elements and we connect the concept antipodal of the latter with Frattin's ...
Ch. G. Massouros
doaj +1 more source
Topological Structures of Lower and Upper Rough Subsets in a Hyperring
Journal of Mathematics, 2021 In this paper, we study the connection between topological spaces, hyperrings (semi-hypergroups), and rough sets. We concentrate here on the topological parts of the lower and upper approximations of hyperideals in hyperrings and semi-hypergroups.
Nabilah Abughazalah +2 more
doaj +1 more source
Harmonic functions on hypergroups [PDF]
, 2011 We initiate a study of harmonic functions on hypergroups. In particular, we introduce the concept of a nilpotent hypergroup and show such hypergroup admits an invariant measure as well as a Liouville theorem for bounded harmonic functions.
Cho-Ho Chu +3 more
core +1 more source