IPM Calendar 
Monday 18 February 2019   Today  
Events for day: Thursday 28 February 2019    
  • Combinatorial Commutative Algebra Weekly Seminar
    On the Polymatroidal Property of Monomial Ideals with a View towards Orderings of Minimal Generators
  • School
    MATHEMATICS

    We prove that a monomial ideal $I$ generated in a single degree, is polymatroidal
    if and only if it has linear quotients with respect to the lexicographical ordering of the minimal generators induced by every ordering of variables. We also
    conjecture that the polymatroidal ideals can be characterized with
    linear quotients property with respect to the reverse
    lexicographical ordering of the minimal generators induced by every
    ordering of variables. We prove our conjecture in many special
    cases. ...

               9:30 - 10:30     Combinatorial Commutative Algebra Weekly Seminar
    On the Polymatroidal Property of Monomial Ideals with a View towards Orderings of Minimal Generators

    School
    MATHEMATICS

    We prove that a monomial ideal $I$ generated in a single degree, is polymatroidal if and only if it has linear quotients with respect to the lexicographical ordering of the minimal generators induced by every ordering of variables. We also conjecture that the polymatroidal ideals can be characterized with linear quotients property with respect to the reverse lexicographical ordering of the minimal generators induced by every ordering of variables. We prove our conjecture in many special cases. ...