Results 51 to 60 of about 22,228 (202)

The moore idempotents of a matrix

Linear Algebra and its Applications, 1994
Let \({\mathbf R}\) be a commutative ring with 1 and an involution \(^ -\). Let \({\mathbf M}\) be the category of finite matrices over \({\mathbf R}\) with the involution \((a_{i,j}) \to (a_{i,j})^* = (\overline a_{j,i})\). If \(A \in {\mathbf M}\), then there exists a unique list of pairwise orthogonal symmetric idempotents \(e_ i\), \(i=0,\dots,s\),
openaire   +1 more source

Subgroups of free idempotent generated semigroups: full linear monoid [PDF]

, 2010
We develop some new topological tools to study maximal subgroups of free idempotent generated semigroups. As an application, we show that the rank 1 component of the free idempotent generated semigroup of the biordered set of a full matrix monoid of n x ...
Brittenham, Mark, Margolis, Stuart W., Meakin, John   +2 more
core  

Blocks in flat families of finite-dimensional algebras

, 2017
We study the behavior of blocks in flat families of finite-dimensional algebras. In a general setting we construct a finite directed graph encoding a stratification of the base scheme according to the block structures of the fibers.
Thiel, Ulrich
core   +1 more source

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

Commutators and Anti-Commutators of Idempotents in Rings

, 2018
We show that a ring $\,R\,$ has two idempotents $\,e,e'\,$ with an invertible commutator $\,ee'-e'e\,$ if and only if $\,R \cong {\mathbb M}_2(S)\,$ for a ring $\,S\,$ in which $\,1\,$ is a sum of two units. In this case, the "anti-commutator" $\,ee'+e'e\
Khurana, Dinesh, Lam, T. Y.
core   +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

THE CLEANNESS OF THE SUBRINGS OF M_2 (Z_P)

Barekeng
Let  be a ring. Ring  is said to be a clean ring if every element of R can be expressed as the sum of a unit and an idempotent element. Furthermore, there are r-clean rings. An r-clean ring is a generalization of a clean ring.
Shinta Nur Alfiana, Nikken Prima Puspita, Widowati Widowati   +2 more
doaj   +1 more source

Idempotent and compact matrices on linear lattices: a survey of some lattice results and related solutions of finite relational equations

International Journal of Mathematics and Mathematical Sciences, 1993
After a survey of some known lattice results, we determine the greatest idempotent (resp. compact) solution, when it exists, of a finite square rational equation assigned over a linear lattice.
Fortunata Liguori, Giulia Martini, Salvatore Sessa   +2 more
doaj   +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

Graph‐Based Spectrum Sensing via Quadratic Form of Adjacency Matrix

IET Radar, Sonar &Navigation, Volume 20, Issue 1, January/December 2026.
This graphical abstract presents a graph‐signal‐processing‐based spectrum sensing algorithm for robust primary user detection at low signal‐to‐noise ratios (SNR). The observed signal is preprocessed via power spectrum calculation and block summation, and then transformed into a graph.
Yan Gao, Guobing Hu, Yunfei Chen
wiley   +1 more source