Word Pronunciation & Dictionary

reduced ring

Word Rarity Uncommon

Frequency: Zipf frequency 4.41 in modern English

Syllables: re-duced ring
IPA

16

Scrabble Score

11

Letters

2

Syllables

8

Unique Chars

Meaning

noun

A ring R that has no nonzero nilpotent elements; equivalently, such that, for x ∈ R, x² = 0 implies x = 0.

Example Sentences

"We do this for reduced rings in Corollary 10, and for rings with nonzero nilpotents in Corollary 15."
"Extending the notion of a reduced ring, we call a right module M over a ring R a reduced module if, for any m#92;inM and a#92;inR, ma#61;0 implies mR#92;capMa#61;0. Various results of reduced rings are extended to reduced modules."
"In general, the first case of importance is the normalization of a reduced ring R in its quotient ring K(R)."

Inflected Forms

reduced rings (plural)

Phrases

reduced algebra reduced scheme

Frequently Paired Words

reduced algebra reduced scheme

Questions

What does reduced ring mean?: A ring R that has no nonzero nilpotent elements; equivalently, such that, for x ∈ R, x² = 0 implies x = 0.

How to pronounce reduced ring

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