Definition of Divisors. Meaning of Divisors. Synonyms of Divisors

- non-trivial divisors. There are divisibility rules that allow one to recognize certain divisors of a number from the number's digits. 7 is a divisor of 42 because...
- positive common divisor in the preorder relation of divisibility. This means that the common divisors of a and b are exactly the divisors of their GCD....
- divisors are a generalization of codimension-1 subvarieties of algebraic varieties. Two different generalizations are in common use, Cartier divisors...
- list positive divisors. d(n) is the number of the positive divisors of n, including 1 and n itself σ(n) is the sum of the positive divisors of n, including...
- ring of n × n matrices over a field has nonzero zero divisors if n ≥ 2. Examples of zero divisors in the ring of 2 × 2 matrices (over any nonzero ring)...
- number theory, a divisor function is an arithmetic function related to the divisors of an integer. When referred to as the divisor function, it counts...
- called the elementary divisors. Note that in a PID, the nonzero primary ideals are powers of prime ideals, so the elementary divisors can be written as powers...
- harmonic divisor number or Ore number is a positive integer whose divisors have a harmonic mean that is an integer. The first few harmonic divisor numbers...
- the notion of 'divisor' is inherently ambiguous (Cartier divisors, Weil divisors: see divisor (algebraic geometry)). The definition in that case is usually...
- these D do not move in a linear system of divisors on C, in the sense that they do not dominate the polar divisor of a non constant function. Riemann further...