[Turkmath:1549] Gebze Teknik Üniversitesi Genel Seminerleri

[Işıl Öner]

Sayin Liste Uyeleri,

Gebze Teknik Üniversitesi (GTU) Matematik Bölümü Genel Seminerleri kapsamında,
21 Ekim Cuma günü saat 14:00'da Ayesha Asloop Qureshi (Sabancı Universitesi) bir seminer verecektir. Seminerin detayları aşağıda olup tüm ilgilenenler davetlidir.

Saygılarımızla,


Dear all,

There will be a seminar in Gebze Technical University (GTU) on 21th of
October by Ayesha Asloop Qureshi (Sabancı Uni.)
Time  and  place:  At 14:00 in Department of Mathematics, Building I, Seminar room.

Title: ALGEBRAIC STRUCTURES ARISING FROM ISOTONIAN MAPS BETWEEN POSETS

Abstract:
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.



Seminer Düzenleme Komitesi adına,
Dr. Işıl ÖNER
Gebze Teknik Üniversitesi, Matematik Bölümü.



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