DiffAlgElement -- the class of all differential forms and vector fields

Types of DiffAlgElement :

• DiffAlgField -- the class of all vector fields
• DiffAlgForm -- the class of all differential forms

Functions and methods returning an object of class DiffAlgElement :

• - DiffAlgElement -- negation of a differential form or vector field
• "DiffAlgElement * QQ" -- see DiffAlgElement * RingElement -- scalar multiplication
• DiffAlgElement * RingElement -- scalar multiplication
• "DiffAlgElement * ZZ" -- see DiffAlgElement * RingElement -- scalar multiplication
• "QQ * DiffAlgElement" -- see DiffAlgElement * RingElement -- scalar multiplication
• "RingElement * DiffAlgElement" -- see DiffAlgElement * RingElement -- scalar multiplication
• "ZZ * DiffAlgElement" -- see DiffAlgElement * RingElement -- scalar multiplication
• DiffAlgElement + DiffAlgElement -- addition
• DiffAlgElement - DiffAlgElement -- subtraction
• "DiffAlgElement / QQ" -- see DiffAlgElement / RingElement -- scalar division
• DiffAlgElement / RingElement -- scalar division
• "DiffAlgElement / ZZ" -- see DiffAlgElement / RingElement -- scalar division
• homogenize(DiffAlgElement) -- homogenize a differential form or vector field
• "linearComb(List,String)" -- see linearComb -- generic linear combination of elements
• "projectivize(DiffAlgElement)" -- see projectivize -- projectivize a differential form or vector field
• "random(DiffAlgElement)" -- see random(DiffAlgElement,Ring) -- replaces the variables of the coefficient ring of a differential form or a vector field with random values
• random(DiffAlgElement,Ring) -- replaces the variables of the coefficient ring of a differential form or a vector field with random values

Methods that use an object of class DiffAlgElement :

• degree(DiffAlgElement) -- degree of a differential form or a vector field
• DiffAlgElement | String -- concatenate a string with a differential form or vector field
• "String | DiffAlgElement" -- see DiffAlgElement | String -- concatenate a string with a differential form or vector field
• "genIm(DiffAlgElement,DiffAlgElement)" -- see genIm -- a basis of the image of a linear expression
• "genKer(DiffAlgElement,DiffAlgElement)" -- see genKer -- basis of the kernel of a linear expression
• isHomogeneous(DiffAlgElement) -- tests if a form (or field) is homogeneous
• "moduliIdeal(DiffAlgElement)" -- see moduliIdeal -- ideal generated by the coefficients of a differential form or vector field
• ring(DiffAlgElement) -- ring of the differential form or vector field
• "singularIdeal(DiffAlgElement)" -- see singularIdeal -- ideal generated by the polynomial coefficients of a differential form or vector field
• substitute(DiffAlgElement,Ring) -- gets the RingElement of a differential form or vector field in a ring

For the programmer

The object DiffAlgElement is a type, with ancestor classes HashTable < Thing.