Notation for vectors that exclude zero

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Is there a conventional notation for the set of all vectors of length $n$ such that not one element of the vector is equal to zero?

Right now I have to write out something like "vector $B$ blah blah blah, where

$B \not\in \left\{A =[a_1, a_2, a_3, ..., a_n], \textrm{ where } \forall i, a_i \neq 0 \right\}$.

I'm wondering if there is a more compact/conventional way to express this?