On Sequentially Cohen-Macaulay Complexes and Posets

Details On Sequentially Cohen-Macaulay Complexes and Posets On Sequentially Cohen-Macaulay Complexes and Posets

2007-02-26

arxiv.org/abs/math/0702788v1

Mathematics

Combinatorics

1 Figure

Scientific paper

The classes of sequentially Cohen-Macaulay and sequentially homotopy Cohen-Macaulay complexes and posets are studied. First, some different versions of the definitions are discussed and the homotopy type is determined. Second, it is shown how various constructions, such as join, product and rank-selection preserve these properties. Third, a characterization of sequential Cohen-Macaulayness for posets is given. Finally, in an appendix we outline connections with ring-theory and survey some uses of sequential Cohen-Macaulayness in commutative algebra.

Affiliated with

Also associated with

No associations

Rating

On Sequentially Cohen-Macaulay Complexes and Posets does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On Sequentially Cohen-Macaulay Complexes and Posets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Sequentially Cohen-Macaulay Complexes and Posets will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-131833