Theorems · Theorem · ring theory
AddMonoidAlgebra.grade.isInternal
∀ {ι : Type u_2} {R : Type u_3} [inst : DecidableEq ι] [AddMonoid ι] [inst_2 : CommSemiring R],
DirectSum.IsInternal (AddMonoidAlgebra.grade R)AddMonoidAlgebra.grade describe an internally graded algebra.
- Defined in
- Mathlib.Algebra.MonoidAlgebra.Grading
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- Submodulestatement · cited by 7,192
- AddMonoidstatement and proof · cited by 2,864
- AddMonoidAlgebrastatement · cited by 649
- DirectSum.IsInternalstatement · cited by 65
- AddMonoidAlgebra.gradestatement and proof · cited by 7
- DirectSum.Decomposition.isInternalproof · cited by 6
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