prime subring
Word Rarity
Very rare
Frequency: Zipf frequency 1.21 in modern English
19
Scrabble Score
12
Letters
3
Syllables
10
Unique Chars
Meaning
noun
The image of the natural homomorphism from ℤ into R, which is the unique homomorphism mapping 1_ℤ to 1_R. Equivalently, the intersection of all subrings of R.
Example Sentences
- "The image of the homomorphism ℤ→ R is called the prime subring of R. Clearly ch(R) = 0 ⟷ the prime subring of R is isomorphic to ℤ."
- "The image of the morphism f_A is the prime subring of A. The prime subring is either isomorphic to the ring ℤ or isomorphic to the ring ℤ/nℤ for some n > 0."
Inflected Forms
prime subrings (plural)