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Paper   IPM / M / 14901
School of Mathematics
  Title:   Minimal free resolution of monomial ideals by iterated mapping cone
  Author(s):  Leila Sharifan
  Status:   To Appear
  Journal: Bull. Iranian Math. Soc.
  Supported by:  IPM
  Abstract:
‎In this paper we study minimal free resolutions of some classes of‎ ‎monomial ideals‎. ‎we first give a ‎sufficient condition to check the minimality of the resolution‎ ‎obtained by the mapping cone‎. ‎Using it‎, ‎we obtain the Betti numbers of max-path ideals of‎ ‎rooted trees and ideals containing‎ ‎powers of variables‎. ‎In particular‎, ‎we discuss about resolutions of ideals of the form JH+(xi12,…‎, ‎xim2) where JH is the edge ideal of a hypergraph H.

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