[Turkmath:6594] Hacettepe Üniversitesi Genel Seminer-Mohamed Yousif

[Asli Pekcan]

Sayın Liste Üyeleri,
Hacettepe Üniversitesi Matematik Bölümü genel seminerleri kapsamında *2**5
Temmuz** 2024 *(Yarın)* ,* *14:00**'*te,  zoom üzerinden Ohio State
University'den Mohamed Yousif'un vereceği ''*Hypercyclic Rings*'' başlıklı
konuşmaya
ilgilenen herkesi bekleriz.

Zoom bağlantı bilgileri:
https://us06web.zoom.us/j/82453177642?pwd=2Ha38XcarQCxOqbOr0AyyZEaIN4Yor.1
<https://www.google.com/url?q=https://us06web.zoom.us/j/82453177642?pwd%3D2Ha38XcarQCxOqbOr0AyyZEaIN4Yor.1&sa=D&source=calendar&usd=2&usg=AOvVaw1-7nLmHabZXUcxXEbxM5hk>
Toplantı Kimliği: 824 5317 7642
Şifre: 778766

Saygılarımızla,
Prof. Dr. Aslı Pekcan Yıldız
Seminer Koordinatörü
*-------------------------------------------------*
*Konuşmacı:* Mohamed Yousif
*Konuşma Başlığı:* Hypercyclic Rings
*Konuşma Özeti:* A simple right $R$-module $S$ over a ring $R$ is called
hypersimple if its injective hull $E(S)$ is cyclic, and a ring $R$ is called
right hypersimple if every simple right $R$-module is hypersimple. We
initiate a study of these new notions, and revisit Osofsky's work on
hypercyclic rings, i.e. rings whose cyclic right modules have cyclic
injective hulls. We will point out several open problems on hypercyclic
rings, and highlight a gap in the proof of one of the main results in
[B. Osofsky, Pacific J. Math. 25: 331--340, (1968)], where it was claimed
that if $R$ is a semilocal right hypercyclic ring, then
$soc(R_{R})\subseteq ^{ess}R_{R}$. Moreover, we will provide a study of the
rings $R$ whose injective hull $E(R_{R})$ is cyclic, extending and
simplifying many of the known results on the subject, and obtaining new
ones.
This is a joint work with Yiqiang Zhou (Memorial University of Newfoundland,
Canada) and Christian Lomp (Universidade do Porto, Portugal).
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://yunus.listweb.bilkent.edu.tr/pipermail/turkmath/attachments/20240724/acbeb4e7/attachment.html>