We say that a Cohen-Macaulay poset (partially ordered set) is "superior" if euery open intenrnl ( x , y) of P "' with µp.-.(x,y) :it: 0 is doubly Cohen-Macaulay. For e2-rnmple, if L = P "' is a modular lattice, then the Cohen-Macaulay poset P is superior. We present a formula for the computation of the Cohen-Macaulay type of the Stanley-Reisner ring of the order compleH of a Cohen-Macaulay poset which is superior
The notion of a sequentially Cohen-Macaulay module was introduced by Stanley [?], fol-lowing the int...
International audienceWe show that all reduced closed subschemes of projective space that have a Coh...
The proper parts of face lattices of convex polytopes are shown to satisfy a strong form of the Cohe...
AbstractWe say that a Cohen-Macaulay poset (partially ordered set) is "superior" if every open inter...
AbstractIt is a well known fact that a supersolvable lattice is EL-shellable. Hence a supersolvable ...
We develop a new approach for establishing the Macaulayness of posets representable as cartesian pow...
AbstractCharacterizations of Cohen-Macaulay posets are given in terms of the nonsingularity of certa...
We discuss two topics related with combinatorial study of canonical modules of Stanley-Reisner rings...
We give a survey of some recent results on bt·(k[6]) = dimk Torf(k[6], k) of the face ring (Stanley-...
Dedicated to Richard Stanley on the occasion of his 70th birthday Abstract. The concept of Cohen-Mac...
We develop a new approach for establishing the Macaulayness of posets representable as cartesian pow...
Macaulay posets are posets for which there is an analogue of the classical Kruskal-Katona theorem fo...
It is shown in this paper how a solution for a combinatorial problem obtained from applying the gree...
Given a finite, graded partially ordered set P, there is an associated simplicial complex of \ud ch...
International audienceWe prove the weak functoriality of (big) Cohen-Macaulay algebras, which contro...
The notion of a sequentially Cohen-Macaulay module was introduced by Stanley [?], fol-lowing the int...
International audienceWe show that all reduced closed subschemes of projective space that have a Coh...
The proper parts of face lattices of convex polytopes are shown to satisfy a strong form of the Cohe...
AbstractWe say that a Cohen-Macaulay poset (partially ordered set) is "superior" if every open inter...
AbstractIt is a well known fact that a supersolvable lattice is EL-shellable. Hence a supersolvable ...
We develop a new approach for establishing the Macaulayness of posets representable as cartesian pow...
AbstractCharacterizations of Cohen-Macaulay posets are given in terms of the nonsingularity of certa...
We discuss two topics related with combinatorial study of canonical modules of Stanley-Reisner rings...
We give a survey of some recent results on bt·(k[6]) = dimk Torf(k[6], k) of the face ring (Stanley-...
Dedicated to Richard Stanley on the occasion of his 70th birthday Abstract. The concept of Cohen-Mac...
We develop a new approach for establishing the Macaulayness of posets representable as cartesian pow...
Macaulay posets are posets for which there is an analogue of the classical Kruskal-Katona theorem fo...
It is shown in this paper how a solution for a combinatorial problem obtained from applying the gree...
Given a finite, graded partially ordered set P, there is an associated simplicial complex of \ud ch...
International audienceWe prove the weak functoriality of (big) Cohen-Macaulay algebras, which contro...
The notion of a sequentially Cohen-Macaulay module was introduced by Stanley [?], fol-lowing the int...
International audienceWe show that all reduced closed subschemes of projective space that have a Coh...
The proper parts of face lattices of convex polytopes are shown to satisfy a strong form of the Cohe...
DOI
Add to ORKG