Sabancı University Mathematics Department Seminars
Ideals and Algebras Associated with Isotone Maps Between Posets
Ayesha Asloob Qureshi
ICTP, Italy
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 behavior. 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 show that K[P,Q] is normal and that their defining ideal admits a quadratic Grobner basis.
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Tarih |
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16.03.2016 |
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Saat |
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11:00 |
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Yer |
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FENS 2008 |
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Dil |
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English |