The Z/2 [read "Z-two"] cohomology of infinite real projective space is this type of ring.
In representation theory a class of these algebraic objects named after Schur appears in the Frobenius and Weyl character formulas. The Z/2 [read "Z-two"] cohomology of infinite real projective space is this type of ring. Hilbert's Nullstellensatz gives a relationship between the ideal generated by a given set of these and the associated affine algebraic variety. Buchberger's algorithm gives a way to transform generators of an ideal in this type of ring into a Grobner basis. Eisenstein's criterion gives a method for determining whether one of these is irreducible and can be applied to show irreducibility of cyclotomic types of these if they are of prime degree. Galois Theory proves the impossibility of giving a general solution in terms of radicals for ones of degree five and higher. For 10 points, name this object, a finite sum of variables with non-negative exponents taking coefficients in some ring.
In representation theory a class of these algebraic objects named after Schur appears in the Frobenius and Weyl character formulas.
{polynomial}