Abstract
Let Δ be a simplicial complex. We study the expansions of Δ mainly to see how the algebraic and combinatorial properties of Δ and its expansions are related to each other. It is shown that Δ is Cohen–Macaulay, sequentially Cohen–Macaulay, Buchsbaum or k-decomposable, if and only if an arbitrary expansion of Δ has the same property. Moreover, some homological invariants like the regularity and the projective dimension of the Stanley–Reisner ideals of Δ and those of their expansions are compared.
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Rahmati-Asghar, R., Moradi, S. On the Stanley–Reisner ideal of an expanded simplicial complex. manuscripta math. 150, 533–545 (2016). https://doi.org/10.1007/s00229-016-0822-6
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DOI: https://doi.org/10.1007/s00229-016-0822-6