THE DIMATU

• Abelian morphism : an abelian morphism is a morphism from a group G to an abelian group H.

• Absolute square : the absolute square of a complex number z = x + iy, with x and y reals, is the number |x + iy|² = x² + y².

• Adams'circle : the Adams'circle of a triangle ABC is the circle passing by the 6 points, M,N,O,P,Q and R of intersection of the lines parallel to the sides of the contact triangle from the Gergonne point with the sides of ABC.
  
  

• Affine variety : an affine algebraic set V is called an affine variety if the ideal I(V) is a prime ideal in .

• Affine algebraic set defined over K : let K be a perfect field, an affine algebraic set V is defined over K  if the ideal I(V) can be generated by polynomials in K[X].

• Affine coordinate ring of K/V : let K be a perfect field and let V/K be a variety defined over K the affine coordinate ring of K/V   is the integral domain K[V] defined by : K[V] = K[X]/I(V/K) with I(V/K) = I(V) Ç K[X].

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