Results 41 to 50 of about 1,283 (167)
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
r‐Hyperideals and Generalizations of r‐Hyperideals in Krasner Hyperrings
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 This paper deals with Krasner hyperrings as an important class of algebraic hyperstructures. We investigate some properties of r‐hyperideals in commutative Krasner hyperrings. Some properties of pr‐hyperideals are also studied. The relation between prime hyperideals and r‐hyperideals is investigated. We show that the image and the inverse image of an r‐
Peng Xu +6 more
wiley +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
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
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
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
Vague Soft Hypergroups and Vague Soft Hypergroup Homomorphism [PDF]
Advances in Fuzzy Systems, 2014 We introduce and develop the initial theory of vague soft hyperalgebra by introducing the novel concept of vague soft hypergroups, vague soft subhypergroups, and vague soft hypergroup homomorphism. The properties and structural characteristics of these concepts are also studied and discussed.
Ganeshsree Selvachandran +1 more
openaire +2 more sources
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
Cyclicity in EL–Hypergroups [PDF]
Symmetry, 2018 In the algebra of single-valued structures, cyclicity is one of the fundamental properties of groups. Therefore, it is natural to study it also in the algebra of multivalued structures (algebraic hyperstructure theory). However, when one considers the nature of generalizing this property, at least two (or rather three) approaches seem natural ...
Michal Novák +2 more
openaire +4 more sources