Phrase guide

reduced ring

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

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

Definition source: English Wiktionary via Wiktextract

Qualifier: ring theory

Topics: algebra, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

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Across languages

Translations

2 source translations are retained for this English entry.

  • German: reduzierter Ring — ring that has no nonzero nilpotent elements
  • Italian: anello ridotto — ring that has no nonzero nilpotent elements