Some results on the group inverse for block matrices over skew fields.
Spaces of rank-2 matrices over GF(2).
Systems of four equations with a matrix application in a finite field
The number of matrix fields over GF(q)
The quaternion matrix-valued Young's inequality.
The quaternionic determinant.
The rank of the difference of similar matrices
The reflexive re-nonnegative definite solution to a quaternion matrix equation.
The Similarity Reduction of Matrices over a Skew Field.
The special circulant matrix and units in group rings.
Über eine n-dimensionale Permutationspolynomgruppe.
Unique prime factorization in a partial semigroup of matrix-polynomials
We establish a unique factorization result into irreducibel elements in the partial semigroup of 2 × 2-matrices with entries in K[x] whose determinant is equal to 1, where K is a field, and where multiplication is defined as the usual matrix-multiplication if the degrees of the factors add up. This investigation is motivated by a result on matrices of entire functions.
Universal factorization equalities over generalized quaternion algebras.
When does the inverse have the same sign pattern as the transpose?
By a sign pattern (matrix) we mean an array whose entries are from the set . The sign patterns for which every real matrix with sign pattern has the property that its inverse has sign pattern are characterized. Sign patterns for which some real matrix with sign pattern has that property are investigated. Some fundamental results as well as constructions concerning such sign pattern matrices are provided. The relation between these sign patterns and the sign patterns of orthogonal matrices...
Zero-one matrices with an application to abelian groups
Zeros of unilateral quaternionic polynomials.
Заметка об алгебраических уравнениях над конечным полем
Матричные задачи и категории матриц
Матричные задачи и теория родов
О сетевом определителе над локальным кольцом Безу