/usr/share/axiom-20170501/src/algebra/LINEXP.spad is in axiom-source 20170501-3.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 | )abbrev category LINEXP LinearlyExplicitRingOver
++ Description:
++ An extension ring with an explicit linear dependence test.
LinearlyExplicitRingOver(R) : Category == SIG where
R : Ring
SIG ==> Ring with
reducedSystem : Matrix % -> Matrix R
++ reducedSystem(A) returns a matrix B such that \spad{A x = 0}
++ and \spad{B x = 0} have the same solutions in R.
reducedSystem : (Matrix %,Vector %) -> Record(mat:Matrix R,vec:Vector R)
++ reducedSystem(A, v) returns a matrix B and a vector w such that
++ \spad{A x = v} and \spad{B x = w} have the same solutions in R.
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