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If you want a more precise answer, it is really important to provide a concrete example of L and M you want to deal with, so that we can test on them and show explicit behaviors.

Anyway, here is a possible way (guessing that a is a generator of L and b is a generator of M):

sage: L.hom([b], M)

Note that the Python variable b should be the name of the generator b of M. If it is not already the case, you can obtain it by doing first:

sage: M.inject_variables()

or

sage: b = M.gen()

If you want a more precise answer, it is really important to provide a concrete example of L and M you want to deal with, so that we can test on them and show explicit behaviors.

Anyway, here Here is a possible way (guessing that a is a generator of L and b is a generator of M):

sage: L.hom([b], M)

Note that the Python variable b should be the name of the generator b of M. If it is not already the case, you can obtain it by doing first:

sage: M.inject_variables()

or

sage: b = M.gen()