Published January 1, 2025 | Version v1
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Componentwise linear ideals and exchange properties

  • 1. Sabanci Univ, Fac Engn & Nat Sci, Orta Mahalle, TR-34956 Istanbul, Turkiye
  • 2. Buein Zahra Tech Univ, Dept Math, Qazvin, Iran

Description

We prove the componentwise linearity of ideals that satisfy a certain exchange property similar to polymatroidal ideals. We also discuss the componentwise linearity and exchange properties of ideals of k-covers of totally balanced weighted hypergraphs.

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