On some classes of spectral posets
Yokoyama, Tomoo
Tsukuba J. Math., Tome 34 (2011) no. 2, p. 213-219 / Harvested from Project Euclid
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This paper deals with sufficient conditions on a poset in order to get it spectral. A motivating question is the following (p. 833 [LO76]): "If X is a height 1 poset such that for all x ≠ y ∈X, ↑ x ∩ ↑y and ↓ x ∩ ↓y are finite, is X spectral?" We obtain the some sufficient conditions for such a poset X to be spectral. In particular, we prove that either if there is a finite subset F ⊆X such that ↓ F ⊇Min X, or if diam X ≤ 2, then the poset X is spectral.
Publié le : 2011-02-15
Classification:  spectral posets,  height 1 posets,  06A06,  54F05 
@article{1302268246,
     author = {Yokoyama, Tomoo},
     title = {On some classes of spectral posets},
     journal = {Tsukuba J. Math.},
     volume = {34},
     number = {2},
     year = {2011},
     pages = { 213-219},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1302268246}
}

Yokoyama, Tomoo. On some classes of spectral posets. Tsukuba J. Math., Tome 34 (2011) no. 2, pp.  213-219. http://gdmltest.u-ga.fr/item/1302268246/