Results 21 to 30 of about 58 (58)

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

A Pair of Generalized (α, α)‐Derivations With Identities Related to Prime Ideals

Journal of Mathematics, Volume 2025, Issue 1, 2025.
Let A be an arbitrary ring, α an automorphism of A, I a nonzero ideal of A, and ϒ a prime ideal of A satisfying the condition ϒ⊊αI. This research investigates the interplay between two generalized (α, α)‐derivations, Ω and G (associated with (α, α)‐derivations f and h, respectively), and the resulting characteristics of the quotient ring A/ϒ.
Ali Yahya Hummdi, Hafedh Alnoghashi, Radwan Mohammed Al-Omary, Abdelkarim Boua, Faranak Farshadifar   +4 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

Near braces and p$p$‐deformed braided groups

Bulletin of the London Mathematical Society, Volume 56, Issue 1, Page 124-139, January 2024.
Abstract Motivated by recent findings on the derivation of parametric noninvolutive solutions of the Yang–Baxter equation, we reconstruct the underlying algebraic structures, called near braces. Using the notion of the near braces we produce new multi‐parametric, nondegenerate, noninvolutive solutions of the set‐theoretic Yang–Baxter equation.
Anastasia Doikou, Bernard Rybołowicz
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

Graphs Connected to Isotopes of Inverse Property Quasigroups: A Few Applications

Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.
Many real‐world applications can be modelled as graphs or networks, including social networks and biological networks. The theory of algebraic combinatorics provides tools to analyze the functioning of these networks, and it also contributes to the understanding of complex systems and their dynamics.
Muhammad Nadeem, Sharafat Ali, Md. Ashraful Alam, Qing-Wen Wang   +3 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

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

On generalized standard algebras. [PDF]

Proc Natl Acad Sci U S A, 1968
Schafer RD.
europepmc   +1 more source