[Merged by Bors] - refactor(ring_theory/graded_algebra): use add_submonoid_class to generalize to graded rings
#14583
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…neralize to graded rings Now tha twe have `add_submonoid_class`, we don't need to consider only families of submodules. For convenience, this keeps around `graded_algebra` as an alias for `graded_ring` over a family of submodules, as this can help with elaboration here and there.
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…ect sum This is a constructive version of `direct_sum.is_internal`, and generalizes the existing `graded_algebra`.
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…neralize to graded rings (#14583) Now that we have `add_submonoid_class`, we don't need to consider only families of submodules. For convenience, this keeps around `graded_algebra` as an alias for `graded_ring` over a family of submodules, as this can help with elaboration here and there. This renames: * `graded_algebra` to `graded_ring` * `graded_algebra.proj_zero_ring_hom` to `graded_ring.proj_zero_ring_hom` adds: * `direct_sum.decompose_ring_equiv` * `graded_ring.proj` * `graded_algebra` (as an alias for a suitable `graded_ring` and removes: * `graded_algebra.is_internal`, which was just an alias anyway. Co-authored-by: Jujian Zhang <jujian.zhang1998@outlook.com>
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add_submonoid_class to generalize to graded ringsadd_submonoid_class to generalize to graded rings
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Now that we have
add_submonoid_class, we don't need to consider only families of submodules.For convenience, this keeps around
graded_algebraas an alias forgraded_ringover a family of submodules, as this can help with elaboration here and there.This renames:
graded_algebratograded_ringgraded_algebra.proj_zero_ring_homtograded_ring.proj_zero_ring_homadds:
direct_sum.decompose_ring_equivgraded_ring.projgraded_algebra(as an alias for a suitablegraded_ringand removes:
graded_algebra.is_internal, which was just an alias anyway.