Journal of Algebra, Number Theory: Advances and ApplicationsAuthor's: Vasile Pop
Pages: [35] - [41]
Received Date: February 05, 2021; Revised March 25, 2021
Submitted by:
DOI: http://dx.doi.org/10.18642/jantaa_7100122167
We show that the sum of the ranks of two matrix polynomials is the same as the sum of the rank of the matrix obtained by applying the greatest common divisor of the polynomials, with the rank of the matrix obtained by applying the least common multiple of the polynomials. Many applications, for older or more recent problems, of this result are obtained.
rank, matrix, polynomial.
