Ring $R_{ 94 }$

Description:

Let $k$ be a countable field and $S=k[x_1, x_2, x_3,\ldots ]$ be the polynomial ring in countably many variables. Let $I$ be the ideal generated by $\{x_i^2\mid i\in \mathbb N\}\cup\{x_ix_j\mid i, j\in \mathbb N, j\geq 2i\}$. The ring is $R=S/I$.

Keywords polynomial ring quotient ring