Results 41 to 50 of about 2,289 (133)

On soft topological hypergroups [PDF]

Journal of Hyperstructures, 2020
Hyperstructure theory, initiated by Marty, is a generalization theory of classical algebraic structures, while soft settheory is a powerful mathematical approach for modeling uncertainties and imprecision.
Gulay Oguz
doaj   +1 more source

Penentuan Hiperstruktur Aljabar dan Karakteristiknya dalam Masalah Pewarisan Biologi

Jambura Journal of Mathematics
This article discusses the application of mathematics in biological inheritance problems, which are closely linked to mathematical studies, particularly in algebraic hyperstructures, including hypergroupoids, hypergroups, and -semigroups.
Alifa Raida Alamsyah, Edi Kurniadi, Anita Triska   +2 more
doaj   +1 more source

Hypergroup Deformations of Semigroups

, 2018
We view the well-known example of the dual of a countable compact hypergroup, motivated by the orbit space of p-adic integers by Dunkl and Ramirez (1975), as hypergroup deformation of the max semigroup structure on the linearly ordered set $\mathbb{Z}_+$
Kumar, Vishvesh, Ross, Kenneth A., Singh, Ajit Iqbal   +2 more
core   +3 more sources

Amenability notions of hypergroups and some applications to locally compact groups

, 2016
Different notions of amenability on hypergroups and their relations are studied. Developing Leptin's theorem for discrete hypergroups, we characterize the existence of a bounded approximate identity for hypergroup Fourier algebras.
Alaghmandan, Mahmood
core   +1 more source

Continuous Association Schemes and Hypergroups

, 2017
Classical finite association schemes lead to a finite-dimensional algebras which are generated by finitely many stochastic matrices. Moreover, there exist associated finite hypergroups.
Voit, Michael
core   +1 more source

Hypergroups and Hypergroup Algebras [PDF]

, 2011
The survey contains a brief description of the ideas, constructions, results, and prospects of the theory of hypergroups and generalized translation operators.
Litvinov, Grigory L.
core  

Atomistic subsemirings of the lattice of subspaces of an algebra

, 2012
Let A be an associative algebra with identity over a field k. An atomistic subsemiring R of the lattice of subspaces of A, endowed with the natural product, is a subsemiring which is a closed atomistic sublattice.
Corsini P., Daniel S. Sage, Freni D., Koskas M., Sage D. S., Sage D. S., Vougiouklis T.   +6 more
core   +1 more source

Ordered Left Almost ⋇‐Semihypergroups Based on Fuzzy Sets

Journal of Mathematics, Volume 2024, Issue 1, 2024.
The concept of an involution or anti‐involution is a self‐inverse linear mapping that plays a prominent role in the theory of algebraic structures, particularly rings, hyperrings, ordered semigroups, and ordered semihypergroups. Nowadays, the study of involutions in ordered hyperstructures is a particular area of research in the field of hyperstructure
Nabilah Abughazalah, Naveed Yaqoob, Tareq Al-shami   +2 more
wiley   +1 more source

Strongly regular relations on regular hypergroups [PDF]

Journal of Mahani Mathematical Research
Hypergroups that have at least one identity element and where each element has at least one inverse are called regular hypergroup. In this regards, for a regular hypergroup $H$, it is shown that there exists a correspondence between the set of all ...
Reza Ameri, Behnam Afshar
doaj   +1 more source

Some Algebraic Classification of Semiregular Hypermodules in Connection to the Radical

Journal of Mathematics, Volume 2024, Issue 1, 2024.
We call a Krasner right S‐hypermodule A regular if each cyclic subhypermodule of A is a direct summand of A, and we also call A semiregular if every finitely generated subhypermodule of A lies above a direct summand of A. In this study, some properties of such hypermodules are achieved.
Yıldız Aydın, Burcu Nişancı Türkmen, Ma Xuanlong   +2 more
wiley   +1 more source