Results 41 to 50 of about 4,967 (212)

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

On the number of transversals in latin squares [PDF]

, 2015
The logarithm of the maximum number of transversals over all latin squares of order $n$ is greater than $\frac{n}{6}(\ln n+ O(1))$
Potapov, Vladimir N.
core   +1 more source

Securing Retinal Template Using Quasigroups

Journal of Advances in Information Technology, 2011
Biometric plays important role in person recognition and identification. It is more secure than the traditional systems like password and token based systems. The traditional systems can be stolen, misplaced or destroyed.
N. Radha, T. Rubya, S. Karthikeyan
doaj   +1 more source

A Duality Theorem for Hopf Quasimodule Algebras

Mathematics, 2023
In this paper, we introduce and study two smash products A★H for a left H-quasimodule algebra A over a Hopf quasigroup H over a field K and B#U for a coquasi U-module algebra B over a Hopf coquasigroup U, respectively. Then, we prove our duality theorem (
Huaiwen Guo, Shuanhong Wang
doaj   +1 more source

QUASIGROUP STRING PROCESSING: PART 4

, 2017
A b s t r a c t: Given a flnite alphabet A and a quasigroup operation ⁄ on the set A, in earlier paper of ours we have deflned the quasigroup transformation E : A + ! A + , where A + is the set of all flnite strings with letters from A.
S. Markovski, V. Bakeva
semanticscholar   +1 more source

Despre CM-grupoizi cu unităt, i multiple s, i bucle de stânga mediale topologice

Acta et Commentationes: Ştiinţe Exacte şi ale Naturii, 2022
În această lucrare sunt examinate proprietăţi ale CM-groupoizilor cu unităţi multiple şi a buclelor de stânga topologice mediale. Au fost determinate condiţiile pentru care un CM-groupoid devine CM-quasigroup. Este propusă o metodă nouă de construcţie a
Liubomir Chiriac , Natalia Bobeică , Natalia Lupashco , Dorin Pavel   +3 more
doaj   +1 more source

Parastrophe of Some Inverse Properties in Quasigroups

Mathematics
This work investigates the relationship between the parastrophes of some notion of inverses in quasigroups. Our findings reveal that, of the 5 parastrophes of LIP quasigroup, (23) parastrophe is a LIP quasigroup, (12) and (132) parastrophes are RIP ...
Yakub T. Oyebo, Abdulafeez O. Abdulkareem, Hasan AlMutairi, Temitope F. Oshodi   +3 more
doaj   +1 more source

Inverse Properties in Neutrosophic Triplet Loop and Their Application to Cryptography

Algorithms, 2018
This paper is the first study of the neutrosophic triplet loop (NTL) which was originally introduced by Floretin Smarandache. NTL originated from the neutrosophic triplet set X: a collection of triplets ( x , n e u t ( x ) , a n t i ( x ) ) for ...
Temitope Gbolahan Jaiyeola, Florentin Smarandache   +1 more
doaj   +1 more source

Multiplier Hopf Coquasigroup: Motivation and Biduality

Mathematics, 2022
Inspired by the multiplier Hopf algebra theory introduced by A. Van Daele, this paper introduces a new algebraic structure, a multiplier Hopf coquasigroup, by constructing the integral dual of an infinite-dimensional Hopf quasigroup with faithful ...
Tao Yang
doaj   +1 more source

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.
Huaiwen Guo, Shuanhong Wang
doaj   +1 more source