Results 91 to 100 of about 17,323 (202)

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

On the Dual Symbolic 2-Plithogenic Numbers [PDF]

Neutrosophic Sets and Systems, 2023
The objective of this paper is to combine dual numbers with symbolic 2-plithogenic numbers in one algebraic structure called dual symbolic 2-plithogenic real numbers.
Khadija Ben Othman, Maretta Sarkis, Murat Ozcek   +2 more
doaj  

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

An analog of the Hille theorem for hypercomplex functions in a finite-dimensional commutative algebra

Математичні Студії
We prove that a locally bounded and differentiable in the sense of Gâteaux function given in a finite-dimensional commutative Banach algebra over the complex field is also differentiable in the sense of Lorc and it is a monogenic function.
S. A. Plaksa, V. S. Shpakivskyi, M. V. Tkachuk   +2 more
doaj   +1 more source

Semi-Idempotents in Neutrosophic Rings

Mathematics, 2019
In complex rings or complex fields, the notion of imaginary element i with i 2 = − 1 or the complex number i is included, while, in the neutrosophic rings, the indeterminate element I where I 2 = I is included.
Vasantha Kandasamy W.B., Ilanthenral Kandasamy, Florentin Smarandache   +2 more
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

Decomposition of finitely generated projective modules over Bezout ring [PDF]

Математичні Студії, 2013
It is shown that a commutative Bezout ring $R$ of stable range 2 isan elementary divisor ring if and only if for each ideal $I$ everyfinitely generated projective $R/I$-module is a direct sum ofprincipal ideals generated by idempotents.
B. V. Zabavsky, S. І. Bilavska
doaj  

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

A generalization of Gelfand-Mazur theorem

International Journal of Mathematics and Mathematical Sciences, 1993
In this paper, we show that if A is a unital semisimple complex Banach algebra with only the trivial idempotents and if σA(x) is countable for each x∈Fr(G(A)), then A≅C, this generalizes the Gelfand-Mazur theorem.
Sung Guen Kim
doaj   +1 more source