Polynomial identity ring
= Polynomial identity ring
{wiki=Polynomial_identity_ring}
A **polynomial identity ring**, often denoted as \\( R\[x\] \\), is a specific type of ring formed by polynomials with coefficients from a ring \\( R \\). Here's a breakdown of the concepts involved: 1. **Polynomial Ring**: Given a ring \\( R \\), the polynomial ring \\( R\[x\] \\) is the set of all polynomials in the variable \\( x \\) with coefficients in \\( R \\).