Autosubduction is a procedure which performs subduction on a collection of ring elements against each other, one at a time. This is typically performed on a set of generators of a Subring or SAGBIBasis. The result of each subduction replaces the original element in the collection and zeros are removed from the collection. If the elements form a subalgebra basis, then the result of autosubduction is unique.
The object AutoSubduce is a symbol.