Combinatorial invariance of Stanley-Reisner rings

Research paper by W. Bruns, J. Gubeladze

Indexed on: 01 Jul '96Published on: 01 Jul '96Published in: Georgian Mathematical Journal


In this short note we show that Stanley—Reisner rings of simplicial complexes, which have had a “dramatic application” in combinatorics [2, p. 41], possess a rigidity property in the sense that they determine their underlying simplicial complexes.