On the Stanley-Reisner ideal of an expanded simplicial complex

Autor:	Rahmati-Asghar, Rahim, Moradi, Somayeh
Rok vydání:	2015
Předmět:	Mathematics - Commutative Algebra Mathematics - Algebraic Geometry 13F55 05E45
Zdroj:	Manuscripta Math. 150 (2016), no. 3, 533-545
Druh dokumentu:	Working Paper
Popis:	Let $\Delta$ be a simplicial complex. We study the expansions of $\Delta$ mainly to see how the algebraic and combinatorial properties of $\Delta$ and its expansions are related to each other. It is shown that $\Delta$ is Cohen-Macaulay, sequentially Cohen-Macaulay, Buchsbaum or $k$-decomposable, if and only if an arbitrary expansion of $\Delta$ has the same property. Moreover, some homological invariants like the regularity and the projective dimension of the Stanley-Reisner ideals of $\Delta$ and those of their expansions are compared. Comment: 11 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1511.04676 Zobrazit plný text záznamu View this record from Arxiv