Hakan Şanal, Dokuz Eylül University.

Date: 29th of May, 2019, Wednesday. Time: 14:30 – 16:00.

Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206.

Abstract: We will continue the seminar with some examples of comparing right isoartinian (isonoetherian) rings and right artinian (noetherian) rings. Then, we deal with the endomorphism ring of an isosimple module.

References

[1] A. Facchini and Z. Nazemian, Modules with chain conditions up to isomorphism. J. Algebra 453 (2016): 578–601.

[2] A. Facchini and Z. Nazemian, Artinian dimension and isoradical of modules. J. Algebra 484 (2017): 66–87.

# Month: May 2019

## Algebraic Functions in terms of Generalised Hypergeometric Functions

Mutlu Koçar, Galatasaray University

24/05/2019, Time: 10:30

Place: B256

## On Isoartinian and Isonoetherian Modules

Hakan Şanal, Dokuz Eylül University.

Date: 22nd of May, 2019, Wednesday. Time: 14:30 – 16:00.

Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206.

Abstract: In [1, 2], Facchini and Nazemian generalize the idea of Artinian and Noetherian modules by considering the chain conditions up to isomorphism. They call a module *M* isoartinan (resp. isonoetherian) if, for every descending (resp. ascending) chain *M ≥ M*_{1 }*≥ M*_{2}* ≥ · · · *(resp. *M*_{1}* ≤ M*_{2}* ≤ M*_{3}* ≤ · · · *) of submodules of *M* , there exists an index *n ≥ 1* s.t. *M*_{n}* **≅**M*_{i} for every *i ≥ n*. Similarly, *M* is called isosimple if *M* is non-zero and every non-zero submodule of *M* is isomorphic to *M*. In this seminar, we will give some properties of these three classes of modules.

References

[1] A. Facchini and Z. Nazemian, Modules with chain conditions up to isomorphism. J. Algebra 453 (2016): 578–601.

[2] A. Facchini and Z. Nazemian, Artinian dimension and isoradical of modules. J. Algebra 484 (2017): 66–87.

## Conjugate Fields and Primitive Element Theorem

Hikmet Burak Özcan, İzmir Institute of Technology.

Date: 15th of May, 2019, Wednesday. Time: 14:30 – 16:00.

Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206.

Abstract: In this talk, first we will recall what we did in the last seminar. Then we will mention conjugate fields and we will give the proof of the primitive element theorem.

## Mathematical Physics Seminars 6-Solution of the Schrödinger Equation in Three Dimensions and hydrogen atom.

Muhammed Deniz, Dokuz Eylül Univ., Department of Physics, Date: May 13, 2019, Monday. Time: 14:30 –16:00. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206.

## Continuation of Algebraic Number Theory

Sedef Taşkın, Dokuz Eylül University.

Date: 8th of May, 2019, Wednesday. Time: 14:30 – 16:00.

Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206.

Abstract: In this talk, first we will recall what we did in the last seminar about integral elements. Then we will mention integrally closed rings and give some examples. Finally we will introduce algebraic elements and algebraic extensions.

## The Analytic Continuation of the Riemann Zeta function

Sedef Taşkın (DEU)

03/05/2019, Time: 10:00

Place: B256

In his epoch-making memoir of 1860 Riemann showed that the key to the deeper investigation of the distribution of the primes lies in the study of zeta function. Riemann proved that the zeta function can be continued analytically over the whole plane and its only pole being a simple pole at s=1. In this talk, we first introduce the gamma function. After that we mention analytic continuation of the zeta function. Finally, we obtain its functional equation.