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7.2.4.3 poly operations (plural)

+
addition

-
negation or subtraction

*
multiplication

/
commutative division by a monomial, non divisible terms yield 0

^, **
power by a positive integer

<, <=, >, >=, ==, <>
comparison (of leading monomials w.r.t. monomial ordering)

poly_expression [ intvec_expression ]
the sum of monomials at the indicated places w.r.t. the monomial ordering