subring

English

Etymology tree

Proto-Indo-European *upó

Proto-Italic *supo

Latin sub

Latin sub-der.

English sub-

English ring

English subring

From sub- + ring.

enPR: sŭb′rĭng′
(Received Pronunciation, General American, Canada, Scotland) IPA^(key): /ˈsʌbˌɹɪŋ/
- Audio (US): (file)
(Australia) IPA^(key): /ˈsɐbˌɹɪŋ/
(New Zealand) IPA^(key): /ˈsabˌɹəŋ/
(India) IPA^(key): /ˈsabˌɾiŋ/
Hyphenation: sub‧ring

subring (plural subrings)

(algebra) A ring which is contained in a larger ring, such that the multiplication and addition on the former are a restriction of those on the latter. When rings are required to have a multiplicative identity (as is standard in most branches of algebra), the subring must also have the same multiplicative identity as the larger ring.

algebraic structure