Phrase guide

multiplicative subset

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.

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1

noun

Meaning 1

A subset of a ring which contains the ring’s unity and which is multiplicatively closed, i.e., it is closed with respect to the ring’s multiplicative operation.

Definition source: English Wiktionary via Wiktextract

Qualifier: commutative algebra

Examples

  • If P is a proper prime ideal of a ring and M is the set complement, w.r.t. the ring, of P, then M is a multiplicative subset.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

No etymology was provided for this word.