Examples
Given a ring R and the (additive) monoid of the natural numbers N (or {xn} viewed multiplicatively), we obtain the ring R =: R of polynomials over R. The Monoid Nn (with the addition) gives the polynomial ring with n variables: R =: R.
Read more about this topic: Monoid Ring
Famous quotes containing the word examples:
“Histories are more full of examples of the fidelity of dogs than of friends.”
—Alexander Pope (1688–1744)
“No rules exist, and examples are simply life-savers answering the appeals of rules making vain attempts to exist.”
—André Breton (1896–1966)
“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)