subring
English
Etymology
Pronunciation
- enPR: sŭb′rĭng′
- (Received Pronunciation, General American, Canada, Scotland) IPA(key): /ˈsʌbˌɹɪŋ/
Audio (General American): (file)
- (General Australian) IPA(key): /ˈsɐbˌɹɪŋ/
- (New Zealand) IPA(key): /ˈsabˌɹəŋ/
- (India) IPA(key): /ˈsabˌɾiŋ/
- Hyphenation: sub‧ring
Noun
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.