Add to ORKGAbstract:- The zero-term rank of a matrix is the maximum number of zeros in any generalized diagonal. This article characterizes the linear operators that preserve zero-term rank of m n ´ atrices when the matrices have entries either in a field with at least mn+1 elements or in a ring whose characteristic is not 2. Key-Words:- Zero-term rank, term rank, linear operator, preserver, ( , ,)P Q B-operator, cell.
In this article, we introduce another standard form of linear preservers. This new standard form pro...
Let F be a field, V1 and V2 be vector spaces of matrices over F and let ρ be the rank function. If T...
Given are tight upper and lower bounds for the minimum rank among all matrices with a prescribed ze...
AbstractThe zero-term rank of a matrix is the maximum number of zeros in any generalized diagonal. T...
summary:Zero-term rank of a matrix is the minimum number of lines (rows or columns) needed to cover ...
Abstract. The zero-term rank of a matrix A over a semiringS is the least number of lines (rows or co...
AbstractThe term rank of an n×n matrix A is the least number of lines (rows or columns) needed to in...
AbstractThe term rank of a matrix A over a semiring S is the least number of lines (rows or columns)...
AbstractThe column rank of an m by n matrix A over the nonnegative reals is the dimension over the n...
AbstractThe minimal rank of a square matrix is studied, and the linear operators preserving it are c...
Abstract. The possible numbers of nonzero entries in a matrix with a given term rank are determined ...
In this paper we obtain some characterizations of linear operators that preserve term rank of Boolea...
Let $\S$ denote the set of symmetric matrices over some semiring, $\s$. A line of $A\in\S$ is a row ...
AbstractAnalogues of characterizations of rank-preserving operators on field-valued matrices are det...
AbstractA characterization is given of all nonsingular linear operators, on the set of m×n matrices ...
In this article, we introduce another standard form of linear preservers. This new standard form pro...
Let F be a field, V1 and V2 be vector spaces of matrices over F and let ρ be the rank function. If T...
Given are tight upper and lower bounds for the minimum rank among all matrices with a prescribed ze...
AbstractThe zero-term rank of a matrix is the maximum number of zeros in any generalized diagonal. T...
summary:Zero-term rank of a matrix is the minimum number of lines (rows or columns) needed to cover ...
Abstract. The zero-term rank of a matrix A over a semiringS is the least number of lines (rows or co...
AbstractThe term rank of an n×n matrix A is the least number of lines (rows or columns) needed to in...
AbstractThe term rank of a matrix A over a semiring S is the least number of lines (rows or columns)...
AbstractThe column rank of an m by n matrix A over the nonnegative reals is the dimension over the n...
AbstractThe minimal rank of a square matrix is studied, and the linear operators preserving it are c...
Abstract. The possible numbers of nonzero entries in a matrix with a given term rank are determined ...
In this paper we obtain some characterizations of linear operators that preserve term rank of Boolea...
Let $\S$ denote the set of symmetric matrices over some semiring, $\s$. A line of $A\in\S$ is a row ...
AbstractAnalogues of characterizations of rank-preserving operators on field-valued matrices are det...
AbstractA characterization is given of all nonsingular linear operators, on the set of m×n matrices ...
In this article, we introduce another standard form of linear preservers. This new standard form pro...
Let F be a field, V1 and V2 be vector spaces of matrices over F and let ρ be the rank function. If T...
Given are tight upper and lower bounds for the minimum rank among all matrices with a prescribed ze...