local ring
Word Rarity
Uncommon
Frequency: Zipf frequency 4.72 in modern English
12
Scrabble Score
9
Letters
2
Syllables
8
Unique Chars
Meaning
noun
A commutative ring with a unique maximal ideal, or a noncommutative ring with a unique maximal left ideal or (equivalently) a unique maximal right ideal.
noun
The non-routing segment of a token ring network.
Example Sentences
- "The unique maximal ideal of a (commutative) local ring contains all of the zero divisors of such ring, and all elements of the ring outside of it are units. Then in a local ring, the sum of any two zero divisors is also a zero divisor. Contrapositively, if two ring elements add up to a unit then one of them must be a unit as well. A simple example of a local ring is #92;mathbb#123;Z#125;#95;8."
Subject
Wiktionary places this term in Mathematics.