If the ring is a monoid ring (e.g., a polynomial ring), then the vector is transmitted as a sequence of triples (i,m,a) , where i is the number of the row, m is the monomial, and a is the coefficient.
If the ring is not a monoid ring, then the vector is transmitted as a sequences of pairs (i,r) where i is the number of the row, and r is the entry.
The columns of a matrix are transmitted as vectors.
See also transmitting a monomial and transmitting a matrix.
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