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A system of parameter chain complexes used for multiplication on differential graded algebras up to homotopy.

An equation of the form P(x)=0, where P(x) is a polynomial.

A homogeneous polynomial in two or more variables.

If a polynomial P(x) is divided by (x-r), then the remainder is a constant given by P(r).

A sequence of polynomials p_i(x), for i=0, 1, 2, ..., where p_i(x) is exactly of degree i for all i.

The difference between the highest and lowest degrees of a polynomial.

A prime field is a finite field GF(p) for p is prime.

A group that has a primitive group action.

An m-ary n-ic polynomial (i.e., a homogeneous polynomial with constant coefficients of degree n in m independent variables).

((a+b)/2)^2-((a-b)/2)^2=ab.