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A ring name with a variable in square brackets, the polynomials over it.
Also known as: Polynomial ring, R bracket x, Coefficient ring notation
R[x] means polynomials in x with coefficients from R, and the square brackets are load-bearing: R(x) with round brackets means rational functions instead, a strictly larger object where division is allowed.
Denotes the ring of polynomials in the named variable with coefficients drawn from the named ring.
Contexts: Mathematics
Contrasts with the round-bracket form R(x), which denotes rational functions — quotients of polynomials — and is a field where R[x] is not.
Contexts: Mathematics
A capital letter followed by a lowercase letter enclosed in square brackets with straight vertical sides.