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rial, sans-serif">Konuşmanın özeti ve zoom bağlantısı aşağıda yer almaktadır.</font></div><div style="min-height:1em;color:rgb(0,0,0)"><font face="arial, sans-serif"><br></font></div><div style="min-height:1em;color:rgb(0,0,0)"><font face="arial, sans-serif">Saygılarımla,</font></div></div><div style="min-height:1em;color:rgb(0,0,0)"><font face="arial, sans-serif">Aslı Pekcan</font></div><div style="min-height:1em;color:rgb(0,0,0)"><font face="arial, sans-serif"><br></font></div><div style="min-height:1em;color:rgb(0,0,0)"><div style="color:rgb(34,34,34)"><font color="#000000" face="arial, sans-serif"><b>Seminer Zoom bağlantı linki:</b></font></div><div style="color:rgb(34,34,34)"><font face="arial, sans-serif"><a href="https://www.google.com/url?q=https://zoom.us/j/96851893273?pwd%3DYWYzZUpyY1R0d2YwQmx3MStZWTlvUT09&sa=D&source=calendar&usd=2&usg=AOvVaw3eRmL4S6ukjogPUUeg7AKq" target="_blank" style="color:rgb(26,115,232)">https://zoom.us/j/96851893273?pwd=YWYzZUpyY1R0d2YwQmx3MStZWTlvUT09</a><br></font></div><div style="color:rgb(34,34,34)"><font face="arial, sans-serif"><b>Toplantı Kimliği:  </b>

<span style="color:rgb(60,64,67)">968 5189 3273</span><br><b>Parola</b>: <span style="color:rgb(60,64,67)">172308</span></font></div></div><div style="min-height:1em;color:rgb(0,0,0)"><font face="arial, sans-serif"><br></font></div><div style="min-height:1em;color:rgb(0,0,0)"><font face="arial, sans-serif"><b>Konuşmacı:</b> 

Ela Çelikbaş

</font></div><div style="min-height:1em"><font face="arial, sans-serif"><b style="color:rgb(0,0,0)">Konuşma Özeti:</b><font color="#000000"> </font>Commutative ring theorists have mainly concentrated in the study of Cohen-Macaulay rings and modules in the last fifty years. Understanding Cohen-Macaulay rings is important since they lie within the intersection of algebraic geometry, algebraic topology, and commutative algebra. There are many Cohen-Macaulay rings which are not Gorenstein, but sufficiently good next to Gorenstein rings; for example,<i> almost Gorenstein rings</i> and <i>generalized Gorenstein rings</i>. These naturally cover the class of Gorenstein rings and fill the gap in-between Cohen-Macaulay and Gorenstein properties.</font></div><font face="arial, sans-serif">In 1971 Lipman studied a class of local rings called <i style="">Arf rings</i>; these rings were initially introduced by Arf in 1949 pertaining to a certain classification of curve singularities. Although the definition of an Arf ring is technical, examples of such rings are abundant in the literature, for example, a one-dimensional local domain of multiplicity two is Arf.<br>In this talk we discuss several examples and motivations for studying Arf rings that are almost Gorenstein and generalized Gorenstein, and give a characterization of such rings.<br>This talk is based on the joint work with Olgur Celikbas, Shiro Goto, and Naoki Endo.</font></div>