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From Lojban to English :
Word: pavysmi [jbovlaste] Type: lujvo Gloss Word: multiplicative identity in the sense of "ring theory" Gloss Word: one-like element in the sense of "ring theory" Definition: $x1$ is the one(-like) element/multiplicative identity of structure/ring $x2$; often is denoted by ' $1_R$ ' or ' $I_R$ ' or by (when context is obvious) '1' or 'I', for structure/ring R (given by $x2$). 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. The n×n identity matrix over a given ring is an example of one such element. See also: nonsmi