Results 21 to 30 of about 53 (52)

Study on the Group‐Theoretic and Ring‐Theoretic Properties of the Centroid of a Class of Filiform Lie Algebras

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates the centroid structure and algebraic properties of a class of n‐dimensional filiform Lie algebras Ln. The structural characteristics of the group G and the ring R formed by centroids are analyzed. The invertible linear transformations of the centroid form a mixed group G, and it is proved that G can be decomposed into the ...
Demin Yu, Zihao Zhong, Francisco J. Garcia-Pacheco   +2 more
wiley   +1 more source

On lower radical type constructions

, 2010
This research is essentially an investigation into lower radical type construction and the consequences thereof. Dealing primarily in associative rings, the aim of this thesis is to construct - and investigate - a generalised lower radical type ...
Guy Cooke (9788648), Cooke, Guy J
core   +1 more source

Topological Aspects of Quadratic Graphs and M‐Polynomials Utilizing Classes of Finite Quasigroups

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Material science, drug design and toxicology studies, which relate a molecule’s structure to its numerous properties and activities, are studied with the use of the topological index. Graphs with finite algebraic structure find extensive applications in fields such as mathematics, elliptic curve cryptography, physics, robotics and information theory ...
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Muhammad Sagir, Abdu Qaid Alameri, Pramita Mishra   +5 more
wiley   +1 more source

Additivity and Central Behavior of CE‐Generalized Homoderivations in Associative Rings

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study examines the commutativity of a ring R endowed with a special class of mappings termed centrally extended generalized homoderivations. These mappings serve as an extension of several existing concepts, including homoderivations, generalized homoderivations, and left centralizers.
Hicham Saber, Hafedh Alnoghashi, Radwan M. Al-Omary, Khaled Aldwoah, Bakri Younis, M. I. Elashiry, Huadong Su   +6 more
wiley   +1 more source

Linking Bipartiteness and Inversion in Algebra via Graph‐Theoretic Methods and Simulink

Complexity, Volume 2025, Issue 1, 2025.
Research for decades has concentrated on graphs of algebraic structures, which integrate algebra and combinatorics in an innovative way. The goal of this study is to characterize specific aspects of bipartite and inverse graphs that are associated with specific algebraic structures, such as weak inverse property quasigroups and their isotopes ...
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Muhammad Arshad, M. I. Elashiry, Samuel Asefa Fufa, Marcin Mrugalski   +6 more
wiley   +1 more source

Topological Sequences Connected With Inverse Graphs of Finite Flexible Weak Inverse Property Quasigroups: An Approach From Polynomials to Machine Learning

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
Research on the confluence of algebra, graph theory, and machine learning has resulted in significant discoveries in mathematics, computer science, and artificial intelligence. Polynomial coefficients can be beneficial in machine learning. They indicate feature significance, nonlinear interactions, and error dynamics.
Faizah D. Alanazi, Theodore Simos
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

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

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