Stanley–Reisner ring
= Stanley–Reisner ring
{wiki=Stanley–Reisner_ring}
A Stanley–Reisner ring, also known as a face ring or a simplicial ring, is a particular type of graded ring that is associated with a simplicial complex. The construction of a Stanley–Reisner ring arises in the field of combinatorial commutative algebra and algebraic geometry, especially in the study of toric varieties and posets.