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from sage.structure.parent_gens cimport ParentWithGens 

  

cpdef bint _is_Field(x) except -2 

  

cdef class Ring(ParentWithGens): 

cdef public object _zero_element 

cdef public object _one_element 

cdef public object _zero_ideal 

cdef public object _unit_ideal 

cdef public object __ideal_monoid 

cdef _an_element_c_impl(self) 

  

cdef class CommutativeRing(Ring): 

cdef public object __fraction_field 

  

cdef class IntegralDomain(CommutativeRing): 

pass 

  

cdef class DedekindDomain(IntegralDomain): 

pass 

  

  

cdef class PrincipalIdealDomain(IntegralDomain): 

pass 

  

cdef class EuclideanDomain(PrincipalIdealDomain): 

pass 

  

cdef class Field(PrincipalIdealDomain): 

pass 

  

cdef class Algebra(Ring): 

pass 

  

cdef class CommutativeAlgebra(CommutativeRing): 

pass