Zobrazeno 1 - 10
of 1 058
pro vyhledávání: '"Hypergroup"'
Autor:
Alessandro Linzi
Publikováno v:
AIMS Mathematics, Vol 9, Iss 5, Pp 11247-11277 (2024)
We express the fundamental properties of commutative polygroups (also known as canonical hypergroups) in category-theoretic terms, over the category $ \mathbf{Set} $ formed by sets and functions. For this, we employ regularity as well as the monoidal
Externí odkaz:
https://doaj.org/article/88d9858748b94e92bb1882c0c5378db0
Publikováno v:
Mathematics, Vol 12, Iss 22, p 3492 (2024)
The HX-groups represent a generalization of the group notion. The Chinese mathematicians Mi Honghai and Li Honxing analyzed this theory. Starting with a group (G,·), they constructed another group (G,∗)⊂P∗(G), where P∗(G) is the set of non-e
Externí odkaz:
https://doaj.org/article/48e2564742ad4006b4f66a1e6946c7ca
Publikováno v:
Axioms, Vol 13, Iss 10, p 705 (2024)
Hypergroups represent a generalization of groups, introduced by Marty, that are rich in applications in several sectors of mathematics and in other fields. An important class of hypergroups called join spaces is presented in this paper, along with so
Externí odkaz:
https://doaj.org/article/e7f3f2f6d16147a2811e259cd6928d86
Publikováno v:
Mathematics Interdisciplinary Research, Vol 8, Iss 2, Pp 123-140 (2023)
In this paper, we construct a hypergroup by using a hypergroup $(H,\circ)$ and a polygroup $(P,\cdot)$, and call it $(H,Poly(P))$-hypergroup. The method of constructing hypergroups in this paper is not present in the
Externí odkaz:
https://doaj.org/article/17cede8fad494a21a8d82de5c14bd418
Publikováno v:
Neutrosophic Sets and Systems, Vol 60, Pp 583-592 (2023)
In 1934, Marty introduced the concept of hyperstructures, which serves as a generalization of algebraic structures. Hyperstructures have applications in various fields, including biology, where they prove useful for analyzing the different types of h
Externí odkaz:
https://doaj.org/article/4b3f470ca6c9492c9debd4cc8e63c8eb
Publikováno v:
Mathematics, Vol 12, Iss 16, p 2445 (2024)
In this paper, we define the fuzzy set-valued homomorphisms of the canonical hypergroups as a generalization of fuzzy congruences and investigate some of their features. This structure is an extension of the definition of set-valued homomorphism defi
Externí odkaz:
https://doaj.org/article/bc868c81ccd14a2b8c71c22dbc84ce5a
Autor:
Andromeda Sonea, Irina Cristea
Publikováno v:
AIMS Mathematics, Vol 8, Iss 4, Pp 7731-7746 (2023)
We study the Euler's totient function (called also the Euler's phi function) in the framework of finite complete hypergroups. These are algebraic hypercompositional structures constructed with the help of groups, and endowed with a multivalued operat
Externí odkaz:
https://doaj.org/article/24d9c5363abb4b07ac8b175657e7efcb
Publikováno v:
Opuscula Mathematica, Vol 43, Iss 4, Pp 493-505 (2023)
In one of our former papers "Endomorphisms of the measure algebra of commutative hypergroups" we considered exponential monomials on hypergroups and higher order derivations of the corresponding measure algebra. Continuing with this, we are now looki
Externí odkaz:
https://doaj.org/article/1466ad1594d14551b93b2758e6680c0a
Publikováno v:
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 30, Iss 2, Pp 161-178 (2022)
In the paper we show that trajectories used in HD maps of autonomous vehicles can be well modelled by means of n-ary hyperoperations and hypergroups. We investigate some properties of such hypergroups.
Externí odkaz:
https://doaj.org/article/1887952f31254182b0aa235fb6d644cc
Autor:
M. Al Tahan, Bijan Davvaz
Publikováno v:
Mathematics Interdisciplinary Research, Vol 7, Iss 1, Pp 1-19 (2022)
The study of hypercompositional structures (introduced by Marty) is now considered of a great value because of its applications in various sciences. In this paper, we focus on a special hypercompositional structure; quasi-ordering hypergroup. In this
Externí odkaz:
https://doaj.org/article/7e1c28b01b6e47309f51cf24a3ca330a