Theorems · Inductive type · ring theory
NonUnitalStarSubalgebra
(R : Type u) → (A : Type v) → [inst : CommSemiring R] → [inst_1 : NonUnitalNonAssocSemiring A] → [Module R A] → [Star A] → Type v
A non-unital star subalgebra is a non-unital subalgebra which is closed under the star
operation.
- Defined in
- Mathlib.Algebra.Star.NonUnitalSubalgebra
- Cited by
- 196 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 9 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement · cited by 20,661
- CommSemiringstatement · cited by 10,911
- NonUnitalNonAssocSemiringstatement · cited by 1,081
- Starstatement · cited by 496
Cited by234
Results whose statement or proof uses this declaration.
- NonUnitalStarAlgebra.adjoinstatement · cited by 43
- NonUnitalStarSubalgebra.toNonUnitalSubalgebrastatement and proof · cited by 37
- NonUnitalStarAlgHom.rangestatement · cited by 24
- NonUnitalStarSubalgebra.mapstatement and proof · cited by 23
- NonUnitalStarAlgebra.elementalstatement · cited by 19
- NonUnitalStarSubalgebra.topologicalClosurestatement and proof · cited by 12
- NonUnitalStarSubalgebra.inclusionstatement and proof · cited by 12
- NonUnitalStarSubalgebra.centralizerstatement · cited by 11
- StarSubalgebra.toNonUnitalStarSubalgebrastatement · cited by 10
- NonUnitalSubalgebra.starClosurestatement · cited by 8
- NonUnitalStarSubalgebra.extstatement and proof · cited by 7
- NonUnitalStarSubalgebra.prodstatement and proof · cited by 7
Showing the 200 most cited of 234.