PS Rings

Zübeyir Türkoğlu, Dokuz Eylül University.
Date:  26th of September, 2018, Wednesday
Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206.
Abstract: In this seminar, we will talk about rings with projective socle. These rings are called PS rings. The following characterization of PS rings were given by W. K. Nicholson and J. F.Watters “R is a PS ring if and only if the right annihilator of every left maximal ideal is of the form fR where f is  an idempotent in R if and only if R has a faithful module with projective socle.”

Representation Theory of Artin Algebras

Zübeyir Türkoğlu, Dokuz Eylül University.
Date:  11th of July, 2018, Wednesday
Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206.
Abstract: In this seminar,  we will talk about a duality between finitely generated  Λ-modules and finitely generated   Λ^{op}-modules over an artin R-algebra Λ and we will prove the existence of enough injectives for finitely generated Λ-modules.

Representation Theory of Artin Algebras

Zübeyir Türkoğlu, Dokuz Eylül University.
Date: 30th of May, 2018, Wednesday, Time: 09:30 – 12:00.
Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206.
Abstract: In this seminar,   we will talk about projectivization technique of finitely generated modules over an artin algebra and we will give the proof of Krull Schmidt Theorem for finetely generated modules over an artin algebra.

Cryptology

Gizem Derbentakar, Ege University.
Date: 23rd of May, 2018, Wednesday. Time: 09:30 – 12:00.
Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206.
Abstract: We will first give some general information about cryptology. After presenting the basics, we will talk about Primality Tests. The talk is based on the book “A Course in Number Theory and Cryptography” by Neal Koblitz.
References
[1] Koblitz, N. A Course in Number Theory and Cryptography. Second edition. Springer, 1994.

Representation Theory of Artin Algebras

Zübeyir Türkoğlu, Dokuz Eylül University.
Date: 25th of April, 2018, Wednesday, Time: 09:30 – 12:00.
Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206.
Abstract: In this seminar,  firstly we will continue talk about the radicals of rings and modules. Then we will talk about the structure of projective modules over left Artinian rings.