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4.20.4 ring operations

+
construct a new ring from and . (The sets of variables must be distinct).
==,<>
compare two rings

Note: Concerning the ground fields and take the following guide lines into consideration:

  • Neither nor may be or .
  • If the characteristic of and differs, then one of them must be .
  • At most one of and may have parameters.
  • If one of and is an algebraic extension of it may not be defined by a charstr of type (p^n,a).

Example:
 
  ring R1=0,(x,y),dp;
  ring R2=32003,(a,b),dp;
  def R=R1+R2;
  R;
==> // coefficients: ZZ/32003
==> // number of vars : 4
==> //        block   1 : ordering dp
==> //                  : names    x y
==> //        block   2 : ordering dp
==> //                  : names    a b
==> //        block   3 : ordering C

ring_lib


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