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<p class="MsoNormal"><span style="font-size: 11pt; line-height: 107%; font-family: "Times New Roman", Times, serif; color: rgb(33, 33, 33); background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">Sayin
Liste Uyeleri,</span><span style="font-size:10.0pt;line-height:107%;font-family:"Segoe UI",sans-serif;
color:#212121"><br>
<span style="font-size: 11pt; font-family: "Times New Roman", Times, serif;"></span><br>
<span style="font-size: 11pt; font-family: "Times New Roman", Times, serif;"></span></span><span style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 11pt; font-family: "Times New Roman", Times, serif;">Gebze
Teknik Üniversitesi</span><span style="background-color: rgb(255, 255, 255); font-size: 11pt; font-family: "Times New Roman", Times, serif;"> (GTU)</span></span><span class="apple-converted-space"><span style="font-size: 11pt; line-height: 107%; font-family: "Times New Roman", Times, serif; color: rgb(33, 33, 33); background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"> </span></span><span style="font-size: 11pt; line-height: 107%; font-family: "Times New Roman", Times, serif; color: rgb(33, 33, 33); background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">Matematik
Bölümü Genel Seminerleri kapsamında,</span><span style="font-size:10.0pt;line-height:107%;font-family:"Segoe UI",sans-serif;
color:#212121"><br>
<span style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 11pt; font-family: "Times New Roman", Times, serif;">21
Ekim </span><span style="font-size: 11pt; font-family: "Times New Roman", Times, serif;">Cuma günü saat 14:00'da Ayesha Asloop Qureshi (Sabancı Universitesi</span><span style="font-size: 11pt; font-family: "Times New Roman", Times, serif;">) bir seminer verecektir.
Seminerin detayları aşağıda </span><span style="font-size: 11pt; font-family: "Times New Roman", Times, serif;">olup tüm ilgilenenler davetlidir.</span></span></span></p>
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color:#212121"><span style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"></span><br>
<span style="font-size: 11pt; font-family: "Times New Roman", Times, serif;"></span><span style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial; font-size: 11pt; font-family: "Times New Roman", Times, serif;"></p>
<p class="MsoNormal"><span style="font-size: 12pt; line-height: 107%; font-family: "Times New Roman", serif; color: rgb(33, 33, 33); background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">Saygılarımızla,<br>
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<span style="line-height: 107%;"><span style="color: rgb(33, 33, 33); font-family: "Times New Roman", Times, serif; font-size: 11pt;"></span><span style="color: rgb(33, 33, 33); font-family: "Times New Roman", Times, serif; font-size: 11pt; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">Dear
all,</span><br>
<span style="color: rgb(33, 33, 33); font-family: "Times New Roman", Times, serif; font-size: 11pt;"></span><br>
<span style="color: rgb(33, 33, 33); font-family: "Times New Roman", Times, serif; font-size: 11pt;"></span><span style="color: rgb(33, 33, 33); font-family: "Times New Roman", Times, serif; font-size: 11pt; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">There
will be a seminar in Gebze Technical University (</span><span class="highlight" style="color: rgb(33, 33, 33); font-family: "Segoe UI", sans-serif; font-size: 10pt;"><span style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial; font-size: 11pt; font-family: "Times New Roman", Times, serif; background-color: rgb(255, 255, 255);">GTU</span></span><span style="color: rgb(33, 33, 33); font-family: "Segoe UI", sans-serif; font-size: 10pt; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 11pt; font-family: "Times New Roman", Times, serif;">)
on 21</span><span style="font-size: 11pt; font-family: "Times New Roman", Times, serif;">th of</span></span><br>
<span style="color: rgb(33, 33, 33); font-family: "Times New Roman", Times, serif; font-size: 11pt;"></span><span style="color: rgb(33, 33, 33); font-family: "Segoe UI", sans-serif; font-size: 10pt; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 11pt; font-family: "Times New Roman", Times, serif;">October</span><span style="font-size: 11pt; font-family: "Times New Roman", Times, serif;">
by </span><span style="color: rgb(33, 33, 33); font-family: "Times New Roman", Times, serif; font-size: 11pt;">Ayesha Asloop Qureshi (Sabancı Uni.</span><span style="color: rgb(33, 33, 33); font-family: "Times New Roman", Times, serif; font-size: 11pt;">)</span></span><br>
<span style="color: rgb(33, 33, 33); font-family: "Times New Roman", Times, serif; font-size: 11pt;"></span><span style="color: rgb(33, 33, 33); font-family: "Times New Roman", Times, serif; font-size: 11pt; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">Time
and place: At 14:00 in Department of Mathematics, </span><span style="color: rgb(33, 33, 33); font-family: "Times New Roman", Times, serif; font-size: 11pt; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">Building
I, Seminar room.</span><br>
<span style="color: rgb(33, 33, 33); font-family: "Segoe UI", sans-serif; font-size: 10pt; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><br>
<p class="MsoNormal" style="font-family: Calibri, Arial, Helvetica, sans-serif, "Apple Color Emoji", "Segoe UI Emoji", NotoColorEmoji, "Segoe UI Symbol", "Android Emoji", EmojiSymbols; font-size: 16px;">
<span style="font-size: 10pt; line-height: 14.2667px; font-family: "Segoe UI", sans-serif; color: rgb(33, 33, 33);"><span style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 11pt; font-family: "Times New Roman", Times, serif;">Title: </span><span style="font-size: 11pt; line-height: 15.6933px; font-family: "Times New Roman", Times, serif;">ALGEBRAIC
STRUCTURES ARISING FROM ISOTONIAN MAPS BETWEEN POSETS</span><o:p></o:p></span></span></p>
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<span style="font-size: 10pt; line-height: 14.2667px; font-family: "Segoe UI", sans-serif; color: rgb(33, 33, 33);"><span style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;"><span style="font-size: 11pt; line-height: 15.6933px; font-family: "Times New Roman", Times, serif;"><br>
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<span style="font-size: 11pt; line-height: 14.2667px; font-family: "Times New Roman", Times, serif; color: rgb(33, 33, 33); background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">Abstract:</span></p>
</span><span style="font-size: 11pt; font-family: "Times New Roman", Times, serif;"></span><span style="background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">
<div><span style="font-size: 11pt; font-family: "Times New Roman", Times, serif;">Our main goal is to study the ideal L(P,Q) and toric ring K[P,Q] whose generators</span></div>
<div><span style="font-size: 11pt; font-family: "Times New Roman", Times, serif;">are in bijection to the isotone maps from P to Q. We examine the several</span></div>
<div><span style="font-size: 11pt; font-family: "Times New Roman", Times, serif;">algebraic properties of L(P,Q) including Alexander duality behaviour. The class of</span></div>
<div><span style="font-size: 11pt; font-family: "Times New Roman", Times, serif;">algebras K[P,Q], called isotonian, are natural generalizations of the so-called Hibi</span></div>
<div><span style="font-size: 11pt; font-family: "Times New Roman", Times, serif;">rings. We determine the Krull dimension of these algebras and for particular classes</span></div>
<div><span style="font-size: 11pt; font-family: "Times New Roman", Times, serif;">of posets P and Q we discuss their normality behaviour. Also, we determine special</span></div>
<div><span style="font-size: 11pt; font-family: "Times New Roman", Times, serif;">classes of P and Q for which defining ideal of K[P,Q] admits a quadratic Gröbner</span></div>
<div><span style="font-size: 11pt; font-family: "Times New Roman", Times, serif;">basis.</span></div>
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<span style="color: rgb(33, 33, 33); font-family: "Times New Roman", serif; font-size: 16px;">Seminer Düzenleme Komitesi adına,</span><br style="color: rgb(33, 33, 33); font-family: "Times New Roman", serif; font-size: 16px;">
<span style="color: rgb(33, 33, 33); font-family: "Times New Roman", serif; font-size: 16px;">Dr. Işıl ÖNER</span><br style="color: rgb(33, 33, 33); font-family: "Times New Roman", serif; font-size: 16px;">
<span style="color: rgb(33, 33, 33); font-family: "Times New Roman", serif; font-size: 16px;">Gebze Teknik Üniversitesi, Matematik Bölümü.</span><br>
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