Results 1 to 10 of about 998 (166)

Hopf Quasigroup Galois Extensions and a Morita Equivalence

Mathematics, 2023
For H, a Hopf coquasigroup, and A, a left quasi-H-module algebra, we show that the smash product A#H is linked to the algebra of H invariants AH by a Morita context.
Shuanhong Wang
exaly   +3 more sources

Soft Neutrosophic Quasigroups [PDF]

Neutrosophic Sets and Systems, 2022
This paper introduced and studied for the first time the object of neutrosophic quasigroup Q(Q,·) over a quasigroup (Q, ·). It was shown that the direct product of any two neutrosophic quasigroups is a neutrosophic quasigroup.
Anthony Oyem, Temıtope. Gbolahan Jaiyeola, Johnson Olajire Olaleru, Benard Osoba   +3 more
doaj   +3 more sources

Distributive Properties of Q−neutrosophic Soft Quasigroups [PDF]

Neutrosophic Sets and Systems, 2023
The Q−neutrosophic soft quasigroup is a mathematical innovation for dealing with indeterminate occurrences. The characterization of quasigroups using the concept of Q−neutrosophic soft set is an evolving area of study that, in recent times, has attracted
Oyobo Tunde Yakub, Benard Osoba, Abdulkareem Abdulafeez Olalekan   +2 more
doaj   +1 more source

Identities and generalized derivatives of quasigroups [PDF]

Computer Science Journal of Moldova, 2022
We associate a partial (autostrophical) identity with every generalized derivative. We research when a quasigroup that satisfies an autostrophic identity has a unit (left or/and right or/and middle).
G. Horosh, N. Malyutina, A. Scerbacova, V. Shcherbacov   +3 more
doaj   +1 more source

Order of Finite Soft Quasigroups with Application to Egalitarianism

Discussiones Mathematicae - General Algebra and Applications, 2022
In this work, a soft set (F, A) was introduced over a quasigroup (Q,) and the study of finite soft quasigroup was carried out, motivated by the study of algebraic structures of soft sets.
Oyem A., Jaiyéọlá T.G., Olaleru J.O.
doaj   +1 more source

Pentagonal quasigroups, their translatability and parastrophes

Open Mathematics, 2021
Any pentagonal quasigroup QQ is proved to have the product xy=φ(x)+y−φ(y)xy=\varphi \left(x)+y-\varphi (y), where (Q,+)\left(Q,+) is an Abelian group, φ\varphi is its regular automorphism satisfying φ4−φ3+φ2−φ+ε=0{\varphi }^{4}-{\varphi }^{3}+{\varphi }^
Dudek Wieslaw A., Monzo Robert A. R.
doaj   +1 more source

A Hybrid Cryptosystem based on Latin Square and the Modified BB84 Quantum Key Distribution

Tikrit Journal of Pure Science, 2022
A new algorithm to improve the security of the transmitted data over the communication channels is presented in this paper. This algorithm is combining Latin square with the modified version of the BB84 Quantum Key Distribution protocol. As the order of
Hamza B. Habib, Wadhah Abdulelah Hussein, Asmaa Kh. Abdul-Rahman   +2 more
doaj   +1 more source

Isotopic Properties of Neutrosophic Soft Quasigroup and Its Application in Decision-making [PDF]

Neutrosophic Sets and Systems
A Q-neutrosophic soft quasigroup (ϕ Q, A) represents a novel mathematical framework designed to address scenarios characterized by indeterminate occurrences.
Benard Osoba, Oyebo Tunde Yakub, Abdulkareem Abdulafeez Olalekan, Oyewole Oluwapamilerin, Adenibuyan Micheal Tokunbo, Oluwatobi Balogun, Adekola Lanrewaju Olumide   +6 more
doaj   +1 more source

Study of Jordan quasigroups and their construction

Journal of Taibah University for Science, 2018
Jordan quasigroups are commutative quasigroups satisfying the identity $x^{2}(yx)=(x^{2}y)x$. In this paper we discuss the basic properties of Jordan quasigroups and prove that (i) every commutative idempotent quasigroup is Jordan quasigroup, (ii) if a ...
Amir Khan, Muhammad Shah, Hidayat Ullah Khan, Gul Zaman   +3 more
doaj   +1 more source

Aplikasi quasigroup dalam pembentukan kunci rahasia pada algoritma hibrida

Cauchy: Jurnal Matematika Murni dan Aplikasi, 2014
Pada artikel ini dibahas penerapan quasigrup di bidang kriptografi. Didefinisikan Suatu operasi quasigroup order 𝑝−1 sehingga bisa membentuk suatu algoritma kriptografi yang disebut sebagai quasigrup cipher, quasigrup cipher merupakan algoritma ...
Muhammad Khudzaifah
doaj   +1 more source