diff --git a/src/AlgebraicGeometry/Schemes/AffineSchemes/Objects/Constructors.jl b/src/AlgebraicGeometry/Schemes/AffineSchemes/Objects/Constructors.jl
index be21f3b1e6c7..2d2c7556d65c 100644
--- a/src/AlgebraicGeometry/Schemes/AffineSchemes/Objects/Constructors.jl
+++ b/src/AlgebraicGeometry/Schemes/AffineSchemes/Objects/Constructors.jl
@@ -176,7 +176,7 @@ with coordinates [y1, y2, y3, y4, y5]
 ```
 """
 function affine_space(kk::BRT, n::Int; variable_name="x") where {BRT<:Ring}
-  R, _ = polynomial_ring(kk, [variable_name * "$i" for i in 1:n])
+  R, _ = polynomial_ring(kk, [variable_name * "$i" for i in 1:n]; cached=false)
   return spec(R)
 end
 
@@ -207,17 +207,17 @@ with coordinates [x, y, z]
 ```
 """
 function affine_space(kk::BRT, var_names::AbstractVector{<:VarName}) where {BRT<:Ring}
-  R, _ = polynomial_ring(kk, var_names)
+  R, _ = polynomial_ring(kk, var_names; cached=false)
   return spec(R)
 end
 
 function affine_space(kk::BRT, n::Int; variable_name="x") where {BRT<:Field}
-  R, _ = polynomial_ring(kk, [variable_name * "$i" for i in 1:n])
+  R, _ = polynomial_ring(kk, [variable_name * "$i" for i in 1:n]; cached=false)
   return variety(spec(R), check=false)
 end
 
 function affine_space(kk::BRT, var_names::AbstractVector{<:VarName}) where {BRT<:Field}
-  R, _ = polynomial_ring(kk, var_names)
+  R, _ = polynomial_ring(kk, var_names; cached=false)
   return variety(spec(R), check=false)
 end
 
diff --git a/src/AlgebraicGeometry/Schemes/ProjectiveSchemes/Objects/Constructors.jl b/src/AlgebraicGeometry/Schemes/ProjectiveSchemes/Objects/Constructors.jl
index 4ce4534c1b29..66dc4ea17ec1 100644
--- a/src/AlgebraicGeometry/Schemes/ProjectiveSchemes/Objects/Constructors.jl
+++ b/src/AlgebraicGeometry/Schemes/ProjectiveSchemes/Objects/Constructors.jl
@@ -89,7 +89,7 @@ Multivariate polynomial ring in 3 variables over QQ graded by
 """
 function projective_space(A::Ring, var_symb::Vector{<:VarName})
   n = length(var_symb)
-  S, _ = graded_polynomial_ring(A, Symbol.(var_symb))
+  S, _ = graded_polynomial_ring(A, Symbol.(var_symb); cached=false)
   return proj(S)
 end
 
@@ -100,7 +100,7 @@ Create the (relative) projective space `Proj(A[s₀,…,sᵣ])` over `A`
 where `s` is a string for the variable names.
 """
 function projective_space(A::Ring, r::Int; var_name::VarName=:s)
-  S, _ = graded_polynomial_ring(A, [Symbol(var_name, i) for i in 0:r])
+  S, _ = graded_polynomial_ring(A, [Symbol(var_name, i) for i in 0:r]; cached=false)
   return proj(S)
 end
 
diff --git a/src/AlgebraicGeometry/Schemes/ProjectiveVariety/Objects/Constructors.jl b/src/AlgebraicGeometry/Schemes/ProjectiveVariety/Objects/Constructors.jl
index 7db8c20fca6a..5c9e8eb59b84 100644
--- a/src/AlgebraicGeometry/Schemes/ProjectiveVariety/Objects/Constructors.jl
+++ b/src/AlgebraicGeometry/Schemes/ProjectiveVariety/Objects/Constructors.jl
@@ -94,7 +94,7 @@ end
 
 function projective_space(A::Field, var_symb::Vector{VarName})
   n = length(var_symb)
-  S, _ = graded_polynomial_ring(A, var_symb)
+  S, _ = graded_polynomial_ring(A, var_symb; cached=false)
   return variety(proj(S), check=false)
 end
 
@@ -104,6 +104,6 @@ function projective_space(
     r::Int;
     var_name::VarName=:s
   ) where {CoeffRingType<:Field}
-  S, _ = graded_polynomial_ring(A, [Symbol(var_name,i) for i in 0:r])
+  S, _ = graded_polynomial_ring(A, [Symbol(var_name,i) for i in 0:r]; cached=false)
   return variety(proj(S), check=false)
 end
diff --git a/test/AlgebraicGeometry/Schemes/AffineRationalPoint.jl b/test/AlgebraicGeometry/Schemes/AffineRationalPoint.jl
index d9678169affc..ed26f021e431 100644
--- a/test/AlgebraicGeometry/Schemes/AffineRationalPoint.jl
+++ b/test/AlgebraicGeometry/Schemes/AffineRationalPoint.jl
@@ -6,6 +6,7 @@
   pX = X([1,0])
   pA = A2(pX)
   @test pX == pA
+  @test A2([1,0]) == pA
   # ring around the rosie once
   @test pX == X(rational_point_coordinates(defining_ideal(scheme(pX))))
   Oscar.closed_embedding(pA)
@@ -13,9 +14,6 @@
   @test dim(tangent_space(pX))==1
   @test dim(tangent_space(pA))==2
 
-  A2a = affine_space(GF(2), [:x, :y]);
-  @test A2a([1,0]) == pA
-
   @test pX in X
   @test pA in X
   @test codomain(pX)===X