On a decomposition of square matrices over a ring with identity.
On commuting generalized inverses of matrices and in associative rings.
On -commuting graph of matrix algebra.
On determinant preservers over skew fields.
On feebly nil-clean rings
A ring is feebly nil-clean if for any there exist two orthogonal idempotents and a nilpotent such that . Let be a 2-primal feebly nil-clean ring. We prove that every matrix ring over is feebly nil-clean. The result for rings of bounded index is also obtained. These provide many classes of rings over which every matrix is the sum of orthogonal idempotent and nilpotent matrices.
On finite sequences satisfying linear recursions.
On general linear semigroups.
On generating regular elements in the semigroup of binary relations.
On minimal rank over finite fields.
On rings with zero divisors. Strong -groups
On solutions to the quaternion matrix equation .
On the class of square Petrie matrices induced by cyclic permutations.
On the diagonalisation of von Neumann regular matrices
On the diagonals of integral matrices
On the invertibility of a linear function on the quaternions.
On the matrix equation over finite fields.
On the maximal subgroup of the sandwich semigroup of generalized circulant Boolean matrices
Let be a positive integer, and the set of all -circulant matrices over the Boolean algebra , . For any fixed -circulant matrix () in , we define an operation “” in as follows: for any in , where is the usual product of Boolean matrices. Then is a semigroup. We denote this semigroup by and call it the sandwich semigroup of generalized circulant...
On the special trace decomposition problem on quaternion structure.
On unimodular complements
On various dynamic compensations