Boğaziçi University Mathematics Colloquium

Algebraic Structures Arising From Isotonian Maps Between Posests
Ayesha Qureshi
Sabancı University, Turkey
Özet : Our main goal is to study the ideal L(P,Q) and toric ring K[P,Q] whose generators are in bijection to the isotone maps from P to Q. We examine the several algebraic properties of L(P,Q) including Alexander duality behaviour. The class of algebras K[P,Q], called isotonian, are natural generalizations of the so-called Hibi rings. We determine the Krull dimension of these algebras and for particular classes of posets P and Q we discuss their normality behaviour. Also, we determine special classes of P and Q for which defining ideal of K[P,Q] admits a quadratic Gröbner basis.
  Tarih : 23.11.2016
  Saat : 15:00
  Yer : TB 250
  Dil : English