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 purpose of being four is to enjoy being fourof secondary importance is to prepare for being five.”
—Jim Trelease (20th century)
“Tell me where is fancy bred,
Or in the heart or in the head?
How begot, how nourished?
Reply, reply.
It is engendered in the eyes,
With gazing fed, and fancy dies
In the cradle where it lies.
Let us all ring fancys knell.
Ill begin it. Ding, dong, bell.”
—William Shakespeare (15641616)