The Logical Language Group Online Dictionary Query |
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From Lojban to English :
Word: nonsmi [jbovlaste] Type: lujvo Gloss Word: additive identity in the sense of "ring theory" Gloss Word: zero-like element in the sense of "ring theory" Definition: $x1$ is the zero(-like)/additive identity of structure/ring $x2$; often is denoted by ' $0_R$ ' (for structure/ring R, specified by $x2$) or by '0' when context is obvious Notes: Definition and rules may be specified in the second terbri; this definition does not suppose that the ring is not the 0-ring (the trivial ring) with the mapping of all multiplications to 0 (in which case, the additive identity is also the multiplicative identity). The usage of "additive" and "multiplicative" in this context are defined by the ring. See also: pavysmi