A footnote on quaternion block-tridiagonal systems.
A generalization of a theorem of Boolean relation matrices
A matrix paraphrase of cyclotomy
A new solvable condition for a pair of generalized Sylvester equations.
A note of equivalence classes of matrices over a finite field.
A note on the ranks of set-inclusion matrices.
A Prime Congruence System.
A Quaternion QR Algorithm.
A rational canonical form for matrix fields
A simple cocyclic Jacket matrices.
A Simple Proof of the Convexity of the Field of Values Defined by Two Hermitian Forms.
A simple proof of Valiant's lemma
Additive rank-one nonincreasing maps on Hermitian matrices over the field .
Almost Diagonal Matrices over Dedekind Domains.
Almost triangular matrices over Dedekind domains.
Analysis of straightening formula.
Asymptotic enumeration of dense 0-1 matrices with equal row sums and equal column sums.
Base tensorielle des matrices de Hankel (ou de Toeplitz) Applications.
Cartan matrices of selfinjective algebras of tubular type
The Cartan matrix of a finite dimensional algebra A is an important combinatorial invariant reflecting frequently structural properties of the algebra and its module category. For example, one of the important features of the modular representation theory of finite groups is the nonsingularity of Cartan matrices of the associated group algebras (Brauer’s theorem). Recently, the class of all tame selfinjective algebras having simply connected Galois coverings and the stable Auslander-Reiten quiver...
Cayley-Hamilton theorem for left eigenvalues of 3 × 3 quaternionic matrices
We prove that any quaternionic matrix of order n ≤3 admits a characteristic function, whose roots are the left eigenvalues, that satisfes Cayley-Hamilton theorem.