Structures · Algebra
Algebra.IsEpi
A commutative R-algebra A is epi, if the multiplication map A ⊗[R] A → A is injective.
- Defined in
- Mathlib.Algebra.Algebra.Epi
- Shape
- 2 explicit arguments · adds injective_lift_mul
Extends0
Extends nothing: this is a root of the hierarchy.
Extended by0
Nothing extends this class yet.
Concrete types that are instances0
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Assumed by14
- TensorProduct.lid'
- Submodule.tensorEquivSpan
- Algebra.tmul_comm
- Algebra.IsEpi.injective_lift_mul
- Algebra.injective_lift_lsmul
- Submodule.tensorSpanEquivSpan
- Submodule.finrank_span_eq_finrank
- Submodule.finrank_span_eq_finrank_span
- Submodule.tensorEquivSpan_apply_tmul
- Submodule.injective_tensorToSpan
- Submodule.coe_tensorSpanEquivSpan_apply_tmul
- TensorProduct.lid'_apply_tmul
- TensorProduct.lid'.congr_simp
- TensorProduct.lid'_symm_apply
Ancestors0
No ancestors.