### 4.23.3 vector operations

`+`
  addition

`-`
  negation or subtraction

`/`
  division by a monomial, not divisible terms yield 0

`<`, `<=`, `>`, `>=`, `==`, `<>`
  comparators (considering leading terms w.r.t. monomial ordering)

vector_expression `[` int_expressions `]`
  is a vector entry; the index 1 gives the first entry.

Example:

      ring R=0,(x,y),(c,dp);
      [x,y]-[1,x];
    ==> [x-1,-x+y]
      [1,2,x,4][3];
    ==> x

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