Add to ORKG© 2017, Pleiades Publishing, Ltd.The rings over which every square matrix is representable as a sum of a nilpotent matrix and a q-potent matrix, where q is a positive integer power of a prime, are studied. As consequences, matrix analogs of the little Fermat theorem are obtained
Every odd prime number p can be written in exactly (p + 1)/2 ways as a sum ab+cd of two ordered prod...
Fermat’s little theorem has been proved using different mathematical approaches, which majority of t...
We establish that a pair of matrices, which determinants are primes powers, can be reduced over qua...
© 2017, Pleiades Publishing, Ltd.The rings over which every square matrix is representable as a sum ...
© 2017, Pleiades Publishing, Ltd.The rings over which every square matrix is representable as a sum ...
© 2017, Pleiades Publishing, Ltd.The rings over which every square matrix is representable as a sum ...
Congruences generalizing Fermat's little theorem are proved for the traces of powers of integer matr...
We study the rings over which each square matrix is the sum of an idempotent matrix and a q-potent m...
AbstractWe give the definition of the ring of Fermat reals, a simple extension of the real field con...
This paper consists of three parts. One is a result on Fermat little theorem, the next is on radical...
AbstractWe study which square matrices are sums of idempotents over a field of positive characterist...
AbstractAn antiring is a semiring which is zerosumfree (i.e., a+b=0 implies a=b=0 for any a,b in thi...
AbstractWe develop a realization theory for matrices over Q, which is in analogy with state space re...
Let A be an n x n nonsingular M-matrix. For the Hadamard product A circle A(-1), M. Fiedler and T.L....
It is shown that if L and D are the Laplacian and the distance matrix of a tree respectively, then a...
Every odd prime number p can be written in exactly (p + 1)/2 ways as a sum ab+cd of two ordered prod...
Fermat’s little theorem has been proved using different mathematical approaches, which majority of t...
We establish that a pair of matrices, which determinants are primes powers, can be reduced over qua...
© 2017, Pleiades Publishing, Ltd.The rings over which every square matrix is representable as a sum ...
© 2017, Pleiades Publishing, Ltd.The rings over which every square matrix is representable as a sum ...
© 2017, Pleiades Publishing, Ltd.The rings over which every square matrix is representable as a sum ...
Congruences generalizing Fermat's little theorem are proved for the traces of powers of integer matr...
We study the rings over which each square matrix is the sum of an idempotent matrix and a q-potent m...
AbstractWe give the definition of the ring of Fermat reals, a simple extension of the real field con...
This paper consists of three parts. One is a result on Fermat little theorem, the next is on radical...
AbstractWe study which square matrices are sums of idempotents over a field of positive characterist...
AbstractAn antiring is a semiring which is zerosumfree (i.e., a+b=0 implies a=b=0 for any a,b in thi...
AbstractWe develop a realization theory for matrices over Q, which is in analogy with state space re...
Let A be an n x n nonsingular M-matrix. For the Hadamard product A circle A(-1), M. Fiedler and T.L....
It is shown that if L and D are the Laplacian and the distance matrix of a tree respectively, then a...
Every odd prime number p can be written in exactly (p + 1)/2 ways as a sum ab+cd of two ordered prod...
Fermat’s little theorem has been proved using different mathematical approaches, which majority of t...
We establish that a pair of matrices, which determinants are primes powers, can be reduced over qua...