The documentation for ring maps should emphasize that Macaulay2 does not enforce a rule that all ring maps are well-defined, but it is just well-defined ring maps that behave as expect. For example, applying a composite ring map to an element may not yield the same answer as the successive application of the two ring maps. This might be worth while mentioning in the documentation.
The documentation for ring maps should emphasize that Macaulay2 does not enforce a rule that all ring maps are well-defined, but it is just well-defined ring maps that behave as expect. For example, applying a composite ring map to an element may not yield the same answer as the successive application of the two ring maps. This might be worth while mentioning in the documentation.