eja: drop a superfluous semicolon.

[sage.d.git] / mjo / eja / eja_element.py

diff --git a/mjo/eja/eja_element.py b/mjo/eja/eja_element.py
index 85ec494e53beaf05c788dbd5b04a23a18c0952d6..a832185502c7fafb16879ab3a08084499d3582ab 100644 (file)
--- a/mjo/eja/eja_element.py
+++ b/mjo/eja/eja_element.py
@@ -375,7 +375,8 @@ class FiniteDimensionalEJAElement(IndexedFreeModuleElement):
         Ensure that the determinant is multiplicative on an associative
         subalgebra as in Faraut and Korányi's Proposition II.2.2::
 
-            sage: J = random_eja().random_element().subalgebra_generated_by()
+            sage: x0 = random_eja().random_element()
+            sage: J = x0.subalgebra_generated_by(orthonormalize=False)
             sage: x,y = J.random_elements(2)
             sage: (x*y).det() == x.det()*y.det()
             True
@@ -1376,7 +1377,7 @@ class FiniteDimensionalEJAElement(IndexedFreeModuleElement):
         This subalgebra, being composed of only powers, is associative::
 
             sage: x0 = random_eja().random_element()
-            sage: A = x0.subalgebra_generated_by()
+            sage: A = x0.subalgebra_generated_by(orthonormalize=False)
             sage: x,y,z = A.random_elements(3)
             sage: (x*y)*z == x*(y*z)
             True
@@ -1385,7 +1386,7 @@ class FiniteDimensionalEJAElement(IndexedFreeModuleElement):
         the superalgebra::
 
             sage: x = random_eja().random_element()
-            sage: A = x.subalgebra_generated_by()
+            sage: A = x.subalgebra_generated_by(orthonormalize=False)
             sage: A(x^2) == A(x)*A(x)
             True
 
@@ -1424,7 +1425,7 @@ class FiniteDimensionalEJAElement(IndexedFreeModuleElement):
         where there are non-nilpotent elements, or that we get the dumb
         solution in the trivial algebra::
 
-            sage: J = random_eja()
+            sage: J = random_eja(field=QQ, orthonormalize=False)
             sage: x = J.random_element()
             sage: while x.is_nilpotent() and not J.is_trivial():
             ....:     x = J.random_element()
@@ -1560,7 +1561,7 @@ class FiniteDimensionalEJAElement(IndexedFreeModuleElement):
             sage: x.trace_inner_product(y) == y.trace_inner_product(x)
             True
             sage: # bilinear
-            sage: a = J.base_ring().random_element();
+            sage: a = J.base_ring().random_element()
             sage: actual = (a*(x+z)).trace_inner_product(y)
             sage: expected = ( a*x.trace_inner_product(y) +
             ....:              a*z.trace_inner_product(y) )