AbstractThe probability that the product of l square matrices of size n over a finite field with q elements will be nilpotent is shown to be 1-[(qn-1)/qn]l. Analogous, if less elegant, results are obtained for the product to be idempotent
AbstractA variant of Prüfer's classical proof of Cayley's theorem on the enumeration of labelled tre...
AbstractWe present a formula enumerating matrices over a finite field of a given rank and a given nu...
2010 Mathematics Subject Classification: 16R10, 15A75, 16S50.In the paper we consider some classes o...
AbstractThe probability that the product of l square matrices of size n over a finite field with q e...
AbstractIt is proved that for n ⩾ 3, every n ×n matrix with integer entries and determinant zero is ...
AbstractA variant of Prüfer's classical proof of Cayley's theorem on the enumeration of labelled tre...
AbstractThe true formula is given for the probability that an n × n matrix over a finite field has d...
AbstractAn expression is derived for the probability that the determinant of an n x n matrix over a ...
AbstractLet Fn be the ring of n × n matrices over the finite field F; let o(Fn) be the number of ele...
AbstractFor some years it has been known that every singular square matrix over an arbitrary field F...
This project was submitted to the Mathematics department in partial fulfillment of the requirements ...
AbstractFor a prime p, we consider some natural classes of matrices over a finite field Fp of p elem...
AbstractWe consider matrices whose entries are power series over a finite field. The coefficients of...
AbstractThe authors determine the number of (n+m)×t matrices A∗ of rank r+v, over a finite field GF(...
AbstractWe study which square matrices are sums of idempotents over a field of positive characterist...
AbstractA variant of Prüfer's classical proof of Cayley's theorem on the enumeration of labelled tre...
AbstractWe present a formula enumerating matrices over a finite field of a given rank and a given nu...
2010 Mathematics Subject Classification: 16R10, 15A75, 16S50.In the paper we consider some classes o...
AbstractThe probability that the product of l square matrices of size n over a finite field with q e...
AbstractIt is proved that for n ⩾ 3, every n ×n matrix with integer entries and determinant zero is ...
AbstractA variant of Prüfer's classical proof of Cayley's theorem on the enumeration of labelled tre...
AbstractThe true formula is given for the probability that an n × n matrix over a finite field has d...
AbstractAn expression is derived for the probability that the determinant of an n x n matrix over a ...
AbstractLet Fn be the ring of n × n matrices over the finite field F; let o(Fn) be the number of ele...
AbstractFor some years it has been known that every singular square matrix over an arbitrary field F...
This project was submitted to the Mathematics department in partial fulfillment of the requirements ...
AbstractFor a prime p, we consider some natural classes of matrices over a finite field Fp of p elem...
AbstractWe consider matrices whose entries are power series over a finite field. The coefficients of...
AbstractThe authors determine the number of (n+m)×t matrices A∗ of rank r+v, over a finite field GF(...
AbstractWe study which square matrices are sums of idempotents over a field of positive characterist...
AbstractA variant of Prüfer's classical proof of Cayley's theorem on the enumeration of labelled tre...
AbstractWe present a formula enumerating matrices over a finite field of a given rank and a given nu...
2010 Mathematics Subject Classification: 16R10, 15A75, 16S50.In the paper we consider some classes o...
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