I am trying to understand this statement regarding Stanley-Reisner rings. Basically my question boils down to how do we see/prove that:
$$k[x_1,\dots,x_n]/I_\Delta=k\oplus\bigoplus_{1\leq i\leq n}x_ik[x_i]$$?
Thanks.
2026-03-30 16:10:05.1774887005
Quotient of Polynomial Ring by this monomial ideal
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