Face number inequalities for matroid complexes and Cohen-Macaulay types of Stanley-Reisner rings of distributive lattices

Takayuki Hibi

Vol. 154 (1992), No. 2, 253–264

DOI: 10.2140/pjm.1992.154.253

Abstract

We discuss two topics related with combinatorial study of canonical modules of Stanley-Reisner rings, viz., (i) some linear inequalities on the number of faces of a matroid complex and (ii) a formula to compute the Cohen-Macaulay type of the Stanley-Reisner ring of a finite distributive lattice.

Mathematical Subject Classification 2000

Primary: 52B40

Secondary: 05B35, 06A07, 13D40

Milestones

Received: 8 April 1991

Revised: 12 July 1991

Published: 1 June 1992