[Turkmath:4712] Gebze Teknik Üniversitesi Matematik Bölümü Genel Seminerleri

[GTU Mathematics]

Sayın Liste Üyeleri,

Gebze Teknik Üniversitesi (GTÜ) Matematik Bölümü Genel Seminerleri
kapsamında, 18 Aralık Cuma günü saat 14:00'te * Prof.Dr. Müge Kanuni Er *
 (DüzceÜniversitesi)  *“ * * Socle of Incidence Rings * *”  *başlıklı bir
seminer verecektir. Seminerin detayları aşağıda olup tüm ilgilenenler
davetlidir.

Seminer için Microsoft Teams platformu kullanılacaktır. Seminere katılmak
için aşağıdaki linki kullanabilirsiniz:

https://teams.microsoft.com/l/meetup-join/19%3a0ae91f7b86a24e8fa1d818a6f74b22a1%40thread.tacv2/1607934351802?context=%7b%22Tid%22%3a%22066690f2-a8a6-4889-852e-124371dcbd6f%22%2c%22Oid%22%3a%22a343f6fd-86f8-4abe-95cf-3c7f4ad5f0ca%22%7d


Seminere bağlanırken aşağıdaki pencereyi görürseniz,


[image: image.png]


lütfen* Allow (İzin ver) *seçeneğine tıklayınız. Bu sizin toplantıya kamera
ve mikrofonunuzla bağlanabilmenizi sağlar.


Seminere giriş yaparken lütfen gerçek ve tam adınızı kullanınız.


Konuşmadığınız sürece lütfen mikrofonunuzu kapalı tutunuz.

Saygılarımızla.


Dear all,

*Prof.Dr. Müge Kanuni Er*  from Düzce University will give a talk titled
*“ * * Socle of Incidence Rings *  ”  on December 18th , at 14:00. All
interested are invited.

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.
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.

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 is dedicated to Eugene Spiegel.)


Microsoft Teams platform will be used for the seminar. To join the seminar,
please use the following link:
https://teams.microsoft.com/l/meetup-join/19%3a0ae91f7b86a24e8fa1d818a6f74b22a1%40thread.tacv2/1607934351802?context=%7b%22Tid%22%3a%22066690f2-a8a6-4889-852e-124371dcbd6f%22%2c%22Oid%22%3a%22a343f6fd-86f8-4abe-95cf-3c7f4ad5f0ca%22%7d




If you see the following window when connecting to the seminar,
[image: image.png]



please select *Allow**. *Then you will be able to use your microphone and
camera during the seminar.


Please use your real and complete name when you enter the system.

Please switch your microphone off unless you are speaking.


Sincerely
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