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<p class="MsoNormal" style="margin-bottom: 0.0001pt;"><font size="2"><span style="font-family: Tahoma, sans-serif;">Sayın Liste Üyeleri,<br>
<br>
GTÜ Matematik Bölümü Seminerleri kapsamında,<br>
2 Ekim Cuma günü saat 14:00'da</span><span style="font-family: Tahoma, sans-serif;"> </span><span style="font-family: Tahoma, sans-serif;">Anargyros Katsampekis<br>
(Mimar Sinan Güzel Sanatlar Üniversitesi) GTÜ Matematik Bölümü Seminer<o:p></o:p></span></font></p>
<p class="MsoNormal" style="margin-bottom: 0.0001pt;"><span style="font-family: Tahoma, sans-serif;"><font size="2">Odası’nda bir seminer verecektir. Seminerin detayları <o:p></o:p></font></span></p>
<p class="MsoNormal" style="margin-bottom: 0.0001pt;"><span style="font-family: Tahoma, sans-serif;"><font size="2">aşağıda olup tüm ilgilenenler davetlidir.<o:p></o:p></font></span></p>
<p class="MsoNormal" style="margin-bottom: 0.0001pt;"><span style="font-family: Tahoma, sans-serif;"><font size="2"><br>
Saygılarımızla,<o:p></o:p></font></span></p>
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<p class="MsoNormal" style="margin-bottom: 0.0001pt; background: white;"><font size="2"><b><span style="font-family: Tahoma, sans-serif; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;">Title:</span></b><span style="font-family: Tahoma, sans-serif; background-image: initial; background-attachment: initial; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;"> Minimal
systems of generators for the defining ideals of monomial curves in A^4(K)<br>
<br>
<b>Abstract:</b> We give a new classification of monomial curves in the affine 4-dimensional space A^4(K). It relies on the detection of those binomials and monomials that have to appear in every system of binomial generators of the defining ideal of the monomial
curve; these special binomials and monomials are called indispensable in the literature. This way to proceed has the advantage of producing a natural necessary and sufficient conditions for the defining ideal of a monomial curve in A^4(K) to have a unique
minimal system of binomial generators.<o:p></o:p></span></font></p>
<p class="MsoNormal" style="margin-bottom: 0.0001pt;"><span style="font-family: Tahoma, sans-serif;"><font size="2"> </font></span></p>
<p class="MsoNormal" style="margin-bottom: 0.0001pt;"><span style="font-family: Tahoma, sans-serif;"><font size="2"> </font></span></p>
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<p class="MsoNormal" style="margin-bottom: 0.0001pt;"><font size="2"><span style="font-family: 'Segoe UI', sans-serif;">Dear all,</span><span style="font-family: Tahoma, sans-serif;"><br>
<br>
There will be a seminar in Gebze Technical University (GTU) on 2nd of<br>
October by Anargyros Katsampekis (Mimar Sinan Fine Arts University) <br>
Time and place: At 14:00 in Department of Mathematics, Building I,<o:p></o:p></span></font></p>
<p class="MsoNormal" style="margin-bottom: 0.0001pt;"><span style="font-family: Tahoma, sans-serif;"><font size="2">Auditorium.<o:p></o:p></font></span></p>
<p class="MsoNormal" style="margin-bottom: 0.0001pt;"><span style="font-family: Tahoma, sans-serif;"><font size="2"> </font></span></p>
<p class="MsoNormal" style="margin-bottom: 0.0001pt;"><span style="font-family: Tahoma, sans-serif;"><font size="2"> </font></span></p>
<p class="MsoNormal" style="margin-bottom: 0.0001pt;"><b><span style="font-family: Tahoma, sans-serif;"><font size="2">Title:</font></span></b><span style="font-family: Tahoma, sans-serif;"><font size="2"> <span style="background-image: initial; background-attachment: initial; background-color: white; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;">Minimal
systems of generators for the defining ideals of monomial curves in A^4(K)</span><br>
<br>
<b>Abstract:</b> <span style="background-image: initial; background-attachment: initial; background-color: white; background-size: initial; background-origin: initial; background-clip: initial; background-position: initial; background-repeat: initial;">We give
a new classification of monomial curves in the affine 4-dimensional space A^4(K). It relies on the detection of those binomials and monomials that have to appear in every system of binomial generators of the defining ideal of the monomial curve; these special
binomials and monomials are called indispensable in the literature. This way to proceed has the advantage of producing a natural necessary and sufficient conditions for the defining ideal of a monomial curve in A^4(K) to have a unique minimal system of binomial
generators.</span></font><span style="font-size: 8.5pt;"><o:p></o:p></span></span></p>
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