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Exterior face ring via Sage

Let $K$ be a finite simplicial complex, then the face ring of K is the ring $A/I$ where $A$ is the exterior algebra on the vertex set of $K$ and $I$ is the ideal generated by monomials corresponding to non-faces of $K$.

Question: Is there an easy way to obtain the exterior face ring in Sage?

Exterior face ring via Sage

Let $K$ F be a field and let K be a finite simplicial complex, then the face ring algebra R of K is the ring $A/I$ F-algebra A/I where $A$ A is the exterior algebra on the vertex set of $K$ K and $I$ I is the ideal generated by monomials corresponding to non-faces of $K$.K.

Question: Is there an easy way to obtain the exterior face ring algebra in Sage?