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Rahim Rahmati-Asghar

Rahim Rahmati-Asghar

Academic rank: Associate Professor
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Education: PhD.
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Faculty: Faculty of Basic Sciences
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Research

Title
On the Stanley–Reisner ideal of an expanded simplicial complex
Type
JournalPaper
Keywords
Stanley–Reisner ideal, expanded simplicial complex, graph
Year
2016
Journal MANUSCRIPTA MATHEMATICA
DOI
Researchers Rahim Rahmati-Asghar

Abstract

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 is shown that is Cohen–Macaulay, sequentially Cohen–Macaulay, Buchsbaum or k-decomposable, if and only if an arbitrary expansion of has the same property. Moreover, some homological invariants like the regularity and the projective dimension of the Stanley– Reisner ideals of and those of their expansions are compared. Intr