Results 81 to 90 of about 3,309 (193)

Eigenvalues of Relatively Prime Graphs Connected with Finite Quasigroups

Journal of Mathematics, Volume 2024, Issue 1, 2024.
A relatively new and rapidly expanding area of mathematics research is the study of graphs’ spectral properties. Spectral graph theory plays a very important role in understanding certifiable applications such as cryptography, combinatorial design, and coding theory.
Muhammad Nadeem, Nwazish Ali, Hafiz Muhammad Bilal, Md. Ashraful Alam, M. I. Elashiry, Kholood Alnefaie, Faranak Farshadifar   +6 more
wiley   +1 more source

Algebraic Properties of Quasigroup Under Q-neutrosophic Soft Set [PDF]

Neutrosophic Sets and Systems
The novel concept called neutrosophic set was launched to take care of indeterminate factors in real-life data. The hybrid model of neutrosophic set and soft set has been widely studied in different areas of algebra, especially in associative structures ...
Benard Osoba, Oyebo Tunde Yakub, Abdulkareem Abdulafeez Olalekan   +2 more
doaj   +1 more source

A note on conjugacy search and racks [PDF]

, 2009
We show that for every effective left conjugacy closed left quasigroup, there is an induced rack that retains the conjugation structure of the left translations.
Partala, Juha
core  

Holomorphism and Edge Labeling: An Inner Study of Latin Squares Associated with Antiautomorphic Inverse Property Moufang Quasigroups with Applications

Complexity, Volume 2024, Issue 1, 2024.
Taking into account the most recent improvements in graph theory and algebra, we can associate graphs of some mathematical structures with certifiable, widely known applications. This paper seeks to explore the connections established through edge labeling among Latin squares derived from Moufang quasigroups, which are constructed using additive ...
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Ismail Naci Cangul, J. Akhter, Georgi Georgiev   +5 more
wiley   +1 more source

T-quasigroups with Stein 2-nd and 3-rd identity

Acta et Commentationes: Ştiinţe Exacte şi ale Naturii
In this paper we prolong research of T-quasigroups with Stein 2-rd (xy ⋅ x = y ⋅ xy) and Stein 3-rd (xy ⋅ yx = y) identities [9].
Victor Shcherbacov, Irina Radilova, Petr Radilov   +2 more
doaj   +1 more source

ARO-quasigroups

Quasigroups and related systems, 2010
In this paper the concept of ARO-quasigroup is introduced and some identities which are valid in a general ARO-quasigroup are proved. The "geometric" concepts of midpoint, parallelogram and affine-regular octagon is introduced in a general ARO-quasigroup.
Volenec, V., Kolar-Begovic, Z., Kolar-Super, R.   +2 more
openaire   +3 more sources

Maximally nonassociative quasigroups via quadratic orthomorphisms [PDF]

, 2021
Aleš Drápal, Ian M. Wanless
openalex   +1 more source

LGS-quasigroups

Quasigroups and related systems, 2009
The concept of a LGS-quasigroup is defined and investigated in this paper. The geometric concepts of parallelograms and midpoints are introduced in a general LGS-quasigroup and the geometrical interpretation in the LGS-quasigroup $C(\frac{;1};{;2};(3 + \sqrt 5))$ is given.
Kolar Begović, Zdenka, Volenec, Vladimir   +1 more
openaire   +2 more sources

Hopf modules and the fundamental theorem for Hopf (co)quasigroups

, 2009
The notion of a Hopf module over a Hopf (co)quasigroup is introduced and a version of the fundamental theorem for Hopf (co)quasigroups is proven.Comment: 11 pages; missing (co)associativity in Definition 2.1 ...
Brzeziński, Tomasz
core  

Braided crossed category over crossed group-cograded weak Hopf quasigroups [PDF]

, 2022
Huili Liu, Lingli Zhu, Tao Yang
openalex   +1 more source