2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74019The homogeneous coordinate ring of a Schubert variety (a Schubert cycle for short) is an algebra with straightening law generated by a distributive lattice. This paper gives a simple method to study the set of all the join-irreducible elements of this distributive lattice, and gives a simple proof of the criterion of the Gorenstein property of Schubert cycles.To appear in Bulletin of Kyoto University of EducationCommutative Algebra13F50; 14M15; 13H10text