exactly divides

Let a and b be integers and n a positive integer.  Then am exactly divides b (denoted as ann) if an divides b but an+1 does not divide b.  For example,  2448.

One can, of course, use the similar expression and notation for the elements a, b of any commutative ring or monoid (cf. e.g. divisor as factor of principal divisor).

Title exactly divides
Canonical name ExactlyDivides
Date of creation 2013-03-22 16:10:44
Last modified on 2013-03-22 16:10:44
Owner Wkbj79 (1863)
Last modified by Wkbj79 (1863)
Numerical id 7
Author Wkbj79 (1863)
Entry type Definition
Classification msc 11A51
Related topic Divides
Related topic Divisibility
Related topic DivisibilityInRings