<div dir="ltr">Dear list members,<br><div class="gmail_quote"><div dir="ltr"><div class="gmail_quote"><div dir="ltr"><div class="gmail_quote"><div dir="ltr"><div class="gmail_quote"><div dir="ltr"><div class="gmail_quote"><div dir="ltr"><br>You are most cordially invited to the <span><span><span><span><span>Yeditepe Mathematics Department 25th Year Seminar</span></span></span></span></span>s organized by the Department of Mathematics. The details of this week's talk are as follows (please note the unusual time):</div><div dir="ltr"><br></div><div>Title: Socle of Incidence Rings</div><div><br>
</div><div>Speaker: Müge Kanuni Er (Düzce University)</div><div><br></div><div>Abstract: In his seminal paper of 1964, "On the foundations of
combinatorial theory I: Theory of Möbius Functions" Gian-Carlo Rota
defined an incidence ring as a tool for solving combinatorial problems.
Incidence ring is a specific ring of functions defined on the ordered
pairs of a given partially ordered set to a given ring. Möbius function
is an element of an incidence ring, besides with the appropriate choice
of the partially ordered set, Möbius function of this incidence algebra
coincides with the well-known Möbius function of number theory. A
product of copies of a ring and upper triangular matrices are typical
examples of incidence algebras.
<p>The investigation of a ring is usually enriched by understanding
special types of ideals of it, such as the Jacobson radical, the prime
radical, the socle,the singular ideal, the center, etc. Although
incidence rings have been an object of study for a few decades, there
does not seem to be any results in the literature on the socle of
incidence rings.</p>
<p>In this talk, we will be restricting the left socle of an incidence
ring between two sets.More explicitly, we compute the socle of an
incidence ring I(X,R) under some assumptions on the ring R and/or the
partially ordered set X. (This joint work with Özkay Özkan: <a href="https://doi.org/10.15672/hujms.684042" target="_blank">doi.org/10.15672/hujms.684042</a> )</p>
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<div>Date: Friday, April 16, 2021</div>
<div>Time: 13:00</div>
<div>Zoom: Please contact me for the link.<br></div><div><br><span></span></div><div><span>--</span></div><div><span><a href="https://researchseminars.org/seminar/7tepemathseminars" target="_blank">https://researchseminars.org/seminar/7tepemathseminars</a></span></div></div></div>
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