The polynomials in the diagonal of the Smith normal form or rational canonical form of a matrix are called its invariant factors.
Invariant Factor
See also
Rational Canonical Form, Smith Normal FormExplore with Wolfram|Alpha
References
Ayres, F. Jr. "Smith Normal Form." Ch. 24 in Schaum's Outline of Theory and Problems of Matrices. New York: Schaum, pp. 188-195, 1962.Dummit, D. S. and Foote, R. M. Abstract Algebra, 2nd ed. Englewood Cliffs, NJ: Prentice-Hall, 1998.Referenced on Wolfram|Alpha
Invariant FactorCite this as:
Weisstein, Eric W. "Invariant Factor." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/InvariantFactor.html