Theorems · Definition · ring theory
RingEquiv.moduleEndSelf
(R : Type u_1) → [inst : Semiring R] → Rᵐᵒᵖ ≃+* Module.End R R
The canonical (semi)ring isomorphism from Rᵐᵒᵖ to Module.End R R induced by the right
multiplication.
- Defined in
- Mathlib.Algebra.Module.LinearMap.End
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- RingHomproof · cited by 10,189
- RingEquivstatement · cited by 1,147
- MulOppositestatement and proof · cited by 1,135
- Module.Endstatement and proof · cited by 774
- MulOpposite.opproof · cited by 520
- DistribSMul.toLinearMapproof · cited by 50
- Module.toModuleEndproof · cited by 7
Cited by6
Results whose statement or proof uses this declaration.
- AlgEquiv.moduleEndSelfproof · cited by 5
- IsSimpleRing.exists_ringEquiv_matrix_end_mulOppositeproof · cited by 1
- RingEquiv.moduleEndSelf_applystatement and proof · cited by 1
- isFullyInvariant_iff_isTwoSidedproof · cited by 0
- RingEquiv.moduleEndSelf_symm_applystatement and proof · cited by 0
- Module.Invertible.toModuleEnd_bijectiveproof · cited by 0