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math.AC2015
On the Stanley-Reisner ideal of an expanded simplicial complex
Rahim Rahmati-Asghar, Somayeh Moradi
Let be a simplicial complex. We study the expansions of mainly to see how the algebraic and combinatorial properties of and its expansions are related to each other. It…
math.AC2015
The behaviors of expansion functor on monomial ideals and toric rings
Rahim Rahmati-Asghar, Siamak Yassemi
In this paper we study some algebraic and combinatorial behaviors of expansion functor. We show that on monomial ideals some properties like polymatroidalness, weakly polymatroidal…
math.AC2015★ 1 cited
Cohen-Macaulay-ness in codimension for simplicial complexes and expansion functor
Rahim Rahmati-Asghar
In this paper we show that expansion of a Buchsbaum simplicial complex is , for an optimal integer . Also, by imposing extra assumptions on a simplicial compl…