Package sage :: Package structure :: Module element :: Class IntegralDomainElement
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Class IntegralDomainElement



            object --+                    
                     |                    
sage_object.SageObject --+                
                         |                
                   Element --+            
                             |            
                 ModuleElement --+        
                                 |        
                       RingElement --+    
                                     |    
                CommutativeRingElement --+
                                         |
                                        IntegralDomainElement
Known Subclasses:
DedekindDomainElement, rings.polynomial.polynomial_element_generic.Polynomial_generic_domain

Instance Methods [hide private]
 
__new__(T, S, ...)
 
is_nilpotent(...)
File: sage/structure/element.pyx (starting at line 2170)

Inherited from CommutativeRingElement: _im_gens_, divides, inverse_mod, mod

Inherited from RingElement: __div__, __idiv__, __imul__, __invert__, __mul__, __pos__, __pow__, __rdiv__, __rmul__, __rpow__, __rtruediv__, __truediv__, _div_, _idiv_, _imul_, _mul_, abs, additive_order, is_one, is_unit, multiplicative_order, order

Inherited from ModuleElement: __add__, __iadd__, __isub__, __neg__, __radd__, __rsub__, __sub__, _add_, _iadd_, _ilmul_, _isub_, _lmul_, _neg_, _rmul_, _sub_

Inherited from ModuleElement (private): _lmul_nonscalar, _rmul_nonscalar

Inherited from Element: __cmp__, __eq__, __ge__, __gt__, __hash__, __init__, __le__, __lt__, __ne__, __nonzero__, __reduce__, __rxor__, __xor__, _cmp_, _repr_, _richcmp_, base_base_extend, base_base_extend_canonical_sym, base_extend, base_extend_canonical, base_extend_canonical_sym, base_extend_recursive, base_ring, category, is_zero, n, parent, subs, substitute

Inherited from sage_object.SageObject: __repr__, _axiom_, _axiom_init_, _gap_, _gap_init_, _gp_, _gp_init_, _interface_, _interface_init_, _interface_is_cached_, _kash_, _kash_init_, _macaulay2_, _macaulay2_init_, _magma_, _magma_init_, _maple_, _maple_init_, _mathematica_, _mathematica_init_, _maxima_, _maxima_init_, _octave_, _octave_init_, _pari_, _pari_init_, _r_init_, _sage_, _singular_, _singular_init_, db, dump, dumps, plot, rename, reset_name, save, version

Inherited from object: __delattr__, __getattribute__, __reduce_ex__, __setattr__, __str__

Properties [hide private]

Inherited from object: __class__

Method Details [hide private]

__new__(T, S, ...)

 


Returns:
a new object with type S, a subtype of T

Overrides: CommutativeRingElement.__new__

is_nilpotent(...)

 
File: sage/structure/element.pyx (starting at line 2170)

Overrides: RingElement.is_nilpotent