Add modules over domain

Author: kwankyu

src/sage/categories/finite_dimensional_modules_with_basis.py

@@ -345,9 +345,9 @@ def echelon_form(self, elements, row_reduced=False, order=None):
 
             ::
 
-                sage: M = MatrixSpace(QQ, 3, 3)                                                                                     
-                sage: A = M([[0, 0, 2], [0, 0, 0], [0, 0, 0]])                                                                      
-                sage: M.echelon_form([A, A])                                                                                         
+                sage: M = MatrixSpace(QQ, 3, 3)
+                sage: A = M([[0, 0, 2], [0, 0, 0], [0, 0, 0]])
+                sage: M.echelon_form([A, A])
                 [
                 [0 0 1]
                 [0 0 0]

src/sage/matrix/matrix2.pyx

@@ -5206,7 +5206,7 @@ cdef class Matrix(Matrix1):
             [1 0]
             [0 2]
         """
-        M = self.row_ambient_module(base_ring = base_ring)
+        M = self.row_ambient_module(base_ring=base_ring)
         if (base_ring is None or base_ring == self.base_ring()) and self.fetch('in_echelon_form'):
             if self.rank() != self.nrows():
                 rows = self.matrix_from_rows(range(self.rank())).rows()
@@ -13224,9 +13224,9 @@ cdef class Matrix(Matrix1):
             sage: P, L, U = C.LU(pivot='partial')
             sage: C == P*L*U
             True
-            
+
         Check that :trac:`32736` is solved::
-        
+
             sage: M = Matrix(FiniteField(11), [[2,3],[4,5]])
             sage: P, L, U = M.LU()
             sage: P.base_ring()

src/sage/matrix/matrix_mpolynomial_dense.pyx

@@ -160,7 +160,6 @@ cdef class Matrix_mpolynomial_dense(Matrix_generic_dense):
             raise RuntimeError("BUG: matrix pivots should have been set but weren't, matrix parent = '%s'"%self.parent())
         return x
 
-
     def echelonize(self, algorithm='row_reduction', **kwds):
         """
         Transform self into a matrix in echelon form over the same base ring as
@@ -559,6 +558,3 @@ cdef class Matrix_mpolynomial_dense(Matrix_generic_dense):
 
         self.cache('det', d)
         return d
-
-
-