Results 1 to 10 of about 22,228 (202)

The Tropical Matrix Groups with Symmetric Idempotents [PDF]

Discrete Dynamics in Nature and Society, 2018
In this paper we study the semigroup Mn(T) of all n×n tropical matrices under multiplication. We give a description of the tropical matrix groups containing a diagonal block idempotent matrix in which the main diagonal blocks are real matrices and other ...
Lin Yang
doaj   +2 more sources

Cubic Idempotence Preserver Problem in Hermitian Matrix Space

Journal of Harbin University of Science and Technology
Preserver problems are the study of preserving maps of certain invariants on a given mathematical structure. In order to preserve the cubic idempotent of Hermitian matrix space, we study the image from the basis of 2 × 2-dimensional Hermitian matrix ...
ZHANG Haoran, XU Jinli
doaj   +2 more sources

Additively idempotent matrix semirings

Journal of Algebra and Its Applications, 2023
Let [Formula: see text] be an additively idempotent semiring and [Formula: see text] be the semiring of all [Formula: see text] matrices over [Formula: see text]. We characterize the conditions of when the semiring [Formula: see text] is congruence-simple provided that the semiring [Formula: see text] is either commutative or finite.
Kepka, Tomáš, Korbelář, Miroslav
openaire   +2 more sources

Idempotents in Matrix Rings [PDF]

Proceedings of the American Mathematical Society, 1994
Let R be a commutative, von Neumann regular ring and M n ( R ) {M_n}(R) the ring of n × n n \times n matrices over R. What are the idempotents in M n (
Barnett, Christopher, Camillo, Victor
openaire   +1 more source

Study Some Properties of a Circulant Matrix

Tikrit Journal of Pure Science, 2023
The aim of this paper is to study the properties of idempotent, nilpotent and stability to a circulant matrix  which generated by the first row, finally we showed the relation between this properties with eigenvalues of this matrix.
Akram Salim Mohammed
doaj   +1 more source

Idempotent operator and its applications in Schur complements on Hilbert C*-module

Special Matrices, 2023
The present study proves that TT is an idempotent operator if and only if R(I−T∗)⊕R(T)=X{\mathcal{ {\mathcal R} }}\left(I-{T}^{\ast })\oplus {\mathcal{ {\mathcal R} }}\left(T)={\mathcal{X}} and (T∗T)†=(T†)2T{\left({T}^{\ast }T)}^{\dagger }={\left({T ...
Karizaki Mehdi Mohammadzadeh, Moghani Zahra Niazi   +1 more
doaj   +1 more source

Miscellaneous equalities for idempotent matrices with applications

Open Mathematics, 2020
This article brings together miscellaneous formulas and facts on matrix expressions that are composed by idempotent matrices in one place with cogent introduction and references for further study.
Tian Yongge
doaj   +1 more source

The Singular Value Decomposition over Completed Idempotent Semifields

Mathematics, 2020
In this paper, we provide a basic technique for Lattice Computing: an analogue of the Singular Value Decomposition for rectangular matrices over complete idempotent semifields (i-SVD).
Francisco J. Valverde-Albacete, Carmen Peláez-Moreno   +1 more
doaj   +1 more source

On the idempotent and nilpotent sum numbers of matrices over certain indecomposable rings and related concepts

Математичні Студії, 2021
We investigate a few special decompositions in arbitrary rings and matrix rings over indecomposable rings into nilpotent and idempotent elements. Moreover, we also define and study the nilpotent sum trace number of nilpotent matrices over an arbitrary ...
P.V. Danchev
doaj   +1 more source

Algebraic Solution to Constrained Bi-Criteria Decision Problem of Rating Alternatives through Pairwise Comparisons

Mathematics, 2021
We consider a decision-making problem to evaluate absolute ratings of alternatives from the results of their pairwise comparisons according to two criteria, subject to constraints on the ratings.
Nikolai Krivulin
doaj   +1 more source