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From Lojban to English :
Word: gu'au'i [jbovlaste]
Type: experimental cmavo (YOU RISK BEING MISUNDERSTOOD IF YOU USE THIS WORD)
Gloss Word: group order in the sense of "abstract algebraic"
Gloss Word: period in the sense of "abstract algebraic"
Gloss Word: order in the sense of "abstract algebraic"
selma'o: VUhU
Definition: mekso operator, variable arity - algebraic structure order of
X1; OR: order of/(size of) period of element X1 in algebraic
structure X2 under operator/of type X3
Notes: If applied to an algebraic structure (such as a group) it gives
the order thereof (which, for a group, is the cardinality of
the underlying set). If applied to an element of an algebraic
structure, one has the options to specify the structure in
which its order is being considered and/or the operator with
respect to which its order is being considered (for example, in
a given ring, an elements additive order is usually not its
multiplicative order), although either of these made remain
vague and be inferred from context; order is the smallest
non-negative number of applications of the operator needed to
be applied (in composition) to the original element in order
for it to result in the identity element of the structure
(thus, order is not always finite or even defined). See also:
mau'au, cu'a.