Diameters of commuting graphs of matrices over semirings
, 2010 We calculate the diameters of commuting graphs of matrices over the binary Boolean semiring, the tropical semiring and an arbitrary nonentire commutative semiring.
Bukovšek, Damjana Kokol +2 more
core
New invariants of stable equivalences of algebras
, 2022 We show that the Auslander-Reiten conjecture on stable equivalences holds true for principal centralizer algebras of matrices over an algebraically closed field, and that delooping levels and $\phi$-dimensions are invariants of stable equivalences of ...
Xi, Changchang, Zhang, Jinbi
core
Sylvester Matrix and Common Factors in Polynomial Matrices [PDF]
With the coefficient matrices of the polynomial matrices replacing the scalar coefficients in the standard Sylvester matrix, common factors exist if and only if this (generalized) Sylvester matrix is singular and the coefficient matrices commute.
Leon Wegge
core
A combinatorial method for determining the spectrum of the linear combinations of finitely many diagonalizable matrices that mutually commute [PDF]
, 2018 et $X_i$, $i=1,2,...,m$, be diagonalizable matrices that mutually commute. This paper provides a combinatorial method to handle the problem of when a linear combination matrix $X=sum_{i=1}^{m}c_iX_i$ is a matrix such that $sigma(X)subseteq{lambda_1 ...
Emre Kişi, Halim Özdemir
core +1 more source
Several Zagreb indices of power graphs of finite non-abelian groups. [PDF]
Heliyon, 2023 Ismail R +5 more
europepmc +1 more source
Equalities for orthogonal projectors and their operations
Open Mathematics, 2010 Tian Yongge
doaj +1 more source
On Commuting graphs of triangular rings
Let $R$ be a noncommutative ring with identity. The commuting graph of $R$, denoted by $\Gamma(R)$, is a graph with vertex set $R \setminus Z(R)$, and two vertices $a$, $b$ are adjacent if $a\neq b$ and $ab=ba$.
Cheraghpour, Hassan +3 more
core
Characterizing Jordan automorphisms of matrix algebras through preserving properties
, 2008 P. Šemrl
semanticscholar +1 more source
A note on simultaneously diagonalizable matrices
, 1998 A. Berman, R. Plemmons
semanticscholar +1 more source
A library of recombinant Babesia microti cell surface and secreted proteins for diagnostics discovery and reverse vaccinology. [PDF]
Int J Parasitol, 2019 Elton CM +4 more
europepmc +1 more source