Results 31 to 40 of about 93 (80)

Extensions of Steiner Triple Systems

Journal of Combinatorial Designs, Volume 33, Issue 3, Page 94-108, March 2025.
ABSTRACT In this article, we study extensions of Steiner triple systems by means of the associated Steiner loops. We recognize that the set of Veblen points of a Steiner triple system corresponds to the center of the Steiner loop. We investigate extensions of Steiner loops, focusing in particular on the case of Schreier extensions, which provide a ...
Giovanni Falcone, Agota Figula, Mario Galici   +2 more
wiley   +1 more source

Leveraging Nonassociative Algebra for Spectral Analysis of Anomalies in IoT

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
The constantly changing characteristics of distributed networks and Internet of Things and additionally their susceptibility to anomalies render maintaining security and resilience complicated. This research provides a spectral‐based anomaly detection framework connected with nonassociative algebra, inverse property quasigroup.
Faizah D. Alanazi, Chong Lin
wiley   +1 more source

Quotients of orders in algebras obtained from skew polynomials with applications to coding theory [PDF]

, 2018
We describe families of nonassociative finite unital rings that occur as quotients of natural nonassociative orders in generalized nonassociative cyclic division algebras over number fields.
Pumpluen, Susanne
core   +1 more source

A Unified Approach to Image Recognition and Cryptography via Flexible Weak Inverse Property Quasigroups

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
Nonassociative algebra presents multiple options for comprehending and dealing with difficulties in graph theory, artificial intelligence, and cryptography. Its distinctive traits introduce genuine concepts and procedures not found in conventional associative algebra, yielding to new results from studies and breakthroughs in multiple disciplines ...
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Muhammad Arshad, Samuel Asefa Fufa, Abdul Rauf Khan   +5 more
wiley   +1 more source

Extended B‐spline‐based implicit material point method for saturated porous media

International Journal for Numerical and Analytical Methods in Geomechanics, Volume 48, Issue 16, Page 4057-4085, November 2024.
Abstract The large deformation and fluidization process of a solid–fluid mixture includes significant changes to the temporal scale of the phenomena and the shape and properties of the mixed material. This paper presents an extended B‐spline (EBS)‐based implicit material point method (EBS‐MPM) for the coupled hydromechanical analysis of saturated ...
Yuya Yamaguchi, Shuji Moriguchi, Kenjiro Terada   +2 more
wiley   +1 more source

Semi‐implicit material point method for simulating infiltration‐induced failure of unsaturated soil structures

International Journal for Numerical and Analytical Methods in Geomechanics, Volume 48, Issue 10, Page 2661-2699, July 2024.
Abstract This study presents a semi‐implicit MPM to adequately characterize the mechanical behavior of unsaturated soil based on Biot's mixture theory. To represent the dependency of the degree of saturation on the suction, we employ the VG model along with a soil‐water characteristic curve, which determines a functional form of permeability called the
Soma Hidano, Yuya Yamaguchi, Shinsuke Takase, Shuji Moriguchi, Kenji Kaneko, Kenjiro Terada   +5 more
wiley   +1 more source

An Algebraic Approach of Topological Indices Connected with Finite Quasigroups

Journal of Function Spaces, Volume 2024, Issue 1, 2024.
In mathematical chemistry, the algebraic polynomial serves as essential for calculating the most accurate expressions of distance‐based, degree‐distance‐based, and degree‐based topological indices. The chemical reactivity of molecules, which includes their tendency to engage in particular chemical processes or go through particular reactions, can be ...
Muhammad Nadeem, Md. Ashraful Alam, Nwazish Ali, M. I. Elashiry, Ozgur Ege   +4 more
wiley   +1 more source

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

Algebras whose right nucleus is a central simple algebra [PDF]

, 2018
We generalize Amitsur's construction of central simple algebras over a field F which are split by field extensions possessing a derivation with field of constants F to nonassociative algebras: for every central division algebra D over a field F of ...
Pumpluen, Susanne, S. Pumplün
core   +1 more source

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