Prime ring can also refer to the subring of a field determined by its characteristic. For a characteristic 0 field, the prime ring is the integers, for a characteristic p field (with p a prime number) the prime ring is the finite field of order p (cf. prime field).
Read more about Prime Ring: Equivalent Definitions, Examples, Properties
Famous quotes containing the words prime and/or ring:
“The prime lesson the social sciences can learn from the natural sciences is just this: that it is necessary to press on to find the positive conditions under which desired events take place, and that these can be just as scientifically investigated as can instances of negative correlation. This problem is beyond relativity.”
—Ruth Benedict (1887–1948)
“It is engend’red in the eyes,
With gazing fed; and fancy dies
In the cradle where it lies.
Let us all ring fancy’s knell.
I’ll begin it—Ding, dong, bell.”
—William Shakespeare (1564–1616)