Prime Element - Examples

Examples

The following are examples of prime elements in rings:

  • The integers ±2, ±3, ±5, ±7, ±11,... in the ring of integers Z
  • the complex numbers, 19, and in the ring of Gaussian integers Z
  • the polynomials and in the ring of polynomials over Z.

Read more about this topic:  Prime Element

Famous quotes containing the word examples:

    “In the examples that I here bring in of what I have [read], heard, done or said, I have refrained from daring to alter even the smallest and most indifferent circumstances. My conscience falsifies not an iota; for my knowledge I cannot answer.”
    —Michel de Montaigne (1533–1592)

    “It is hardly to be believed how spiritual reflections when mixed with a little physics can hold people’s attention and give them a livelier idea of God than do the often ill-applied examples of his wrath.”
    —G.C. (Georg Christoph)

    “Histories are more full of examples of the fidelity of dogs than of friends.”
    —Alexander Pope (1688–1744)