Results 81 to 90 of about 43,216 (196)

Jordan homomorphisms and T‐ideals

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract Let A$A$ and B$B$ be associative algebras over a field F$F$ with char(F)≠2${\rm char}(F)\ne 2$. Our first main result states that if A$A$ is unital and equal to its commutator ideal, then every Jordan epimorphism φ:A→B$\varphi:A\rightarrow B$ is the sum of a homomorphism and an antihomomorphism. Our second main result concerns (not necessarily
Matej Brešar, Efim Zelmanov
wiley   +1 more source

Graph of Orthogonal Idempotent Elements in Rings of Integers Modulo n With Spectral Clustering

Journal of Mathematics
The zero-divisor graph provides a relationship between abstract algebra and graph theory. Based on this concept, a new graph is defined using the orthogonal idempotent elements in a ring.
Shaimaa H. Ahmad, Mohammed Th. Al-Neima, Zubaida M. Ibraheem, Ahmed M. Ali   +3 more
doaj   +1 more source

An Introduction to i-Commutative Rings

Mathematics
In this paper, we introduce a new class of rings, called i-commutative rings, by extending the concept of commutative-like rings using idempotent elements.
Muhammad Saad, Usama A. Aburawash, Ahmed M. A. El-Sayed, Nour Nabil   +3 more
doaj   +1 more source

Joint Unbiased and Minimum‐Variance Based Input and State Estimation for Linear Constrained Systems

IET Control Theory &Applications, Volume 20, Issue 1, January/December 2026.
Using unbiased estimations, a recursive filter where the interconnected unknown inputs, constraints and states are decoupled is developed based on the least squares and minimum variance estimations. ABSTRACT Unbiased estimation problem for constrained linear systems is considered, where the systems are subject to unknown inputs that exist in both the ...
Yanting Yang, Yuemei Qin
wiley   +1 more source

A Voronoi Diagram‐Based Approach for AC Optimal Power Flow

IET Generation, Transmission &Distribution, Volume 20, Issue 1, January/December 2026.
This paper presents a new approach for AC optimal power flow. The proposed approach begins by constructing a Voronoi diagram using a set of initial sample points that represent candidate solutions distributed across the search space. It then iteratively adds new sample points, including: (i) a tentative optimal point obtained via the continuous ...
Mohammed N. Khamees, Kai Sun
wiley   +1 more source

On prime spaces of neutrosophic extended triplet groups

Open Mathematics
This article aims to investigate the Zariski topology on the set of prime ideals of a weak commutative neutrosophic extended triplet group (NETG) NN, denoted by Prim(N){\rm{Prim}}\left(N).
Zhou Xin, Xin Xiao Long
doaj   +1 more source

On idempotent convexities and idempotent barycenter maps

Topology and its Applications
We consider an isomorphism between the idempotent convexity based on the maximum and the addition operations and the idempotent measure convexity on the maximum and the multiplication operations. We use this isomorphism to investigate topological properties of the barycenter map related to the maximum and the multiplication operations.
Dawid Krasiński, Taras Radul
openaire   +3 more sources

About unital and non-unital duo rings [PDF]

Proceedings of the Estonian Academy of Sciences
Several results about one-sided duo rings and duo rings are generalized from the case of unital rings to the case of arbitrary associative rings in this paper.
Mart Abel, Eva-Lotta Elmanovitš
doaj   +1 more source

On commutators of idempotents

Linear and Multilinear Algebra
Let $T$ be an operator on Banach space $X$ that is similar to $- T$ via an involution $U$. Then $U$ decomposes the Banach space $X$ as $X = X_1 \oplus X_2$ with respect to which decomposition we have $U = \left(\begin{matrix} I_1 & 0 \\ 0 & -I_2 \end{matrix} \right)$, where $I_i$ is the identity operator on the closed subspace $X_i$ ($i=1, 2$).
openaire   +3 more sources

Paraunitary matrices and group rings [PDF]

International Journal of Group Theory, 2014
Design methods for paraunitary matrices from complete orthogonal sets of idempotents and related matrix structuresare presented. These include techniques for designing non-separable multidimensional paraunitary matrices.
Barry Hurley, Ted Hurley
doaj