algebra

Haydar Göral, Dokuz Eylül University.
Date: 25th of December, 2019, Wednesday, Time: 14.45 – 16.15.
Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Classroom B256.
Abstract: In this talk, we consider algebraic unit fractions. We show that the finiteness of the set of all solutions of certain Diophantine equations in algebraic unit fractions determines the field of rational numbers among all real number fields.

M. Pınar Eroğlu, Dokuz Eylül University.
Date: 18th of December, 2019, Wednesday, Time: 14.45 – 16.15.
Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Classroom B256.
Abstract: In this seminar, we will first investigate the relationships between the degree of algebraicity of an element and its strong degree. And then we will continue to talk about the strong degrees of unital rings.

Burak Turfan, Dokuz Eylül University.
Date: 11th of December, 2019, Wednesday, Time: 14.45 – 16.15.
Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Classroom B256.
Abstract: In this talk, I will introduce Riemann zeta function and multiple zeta values. Also, We see that Euler’s formula that is values of Riemann zeta functions at the even integers. I will try to find some linear relation between Rieman zeta function and multiple zeta values. The main purpose of this talk finding algebraic relation of Q-vector spaces of R which is generated by multiple zeta values according to their weight and length, and talking about their dimensions. Finally, I will mention about some conjectures.

Çiğdem Yırtıcı, University of Stuttgart.
Date: 4th of December, 2019, Wednesday, Time: 14.45 – 16.15.
Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Classroom B256.
Abstract: Two large classes of algebras, Frobenius algebras and gendo-symmetric algebras, are characterized by comultiplication with some special properties. But, there are differences between them. The aim of this talk is to introduce the class of gendo-symmetric algebras which is constructed by Fang and König and clarify these differences.   

M. Pınar Eroğlu, Dokuz Eylül University.
Date: 27th of November, 2019, Wednesday, Time: 14.45 – 16.15.
Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Classroom B256.
Abstract: In this seminar, we will continue to talk about the strong degree of unital rings.

M. Pınar Eroğlu, Dokuz Eylül University.
Date: 13rd of November, 2019, Wednesday, Time: 14.45 – 16.15.
Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Classroom B256.
Abstract: In this seminar, we will introduce the concept of the strong degree of a unital ring. The definition involves a rather technical condition, but we shall see that the strong degree can be rather easily computed for certain classes of rings.

Reference: 1. Brešar, M., Chebotar, M. A., and Martindale, W. S. (2007). Functional identities. Springer Science & Business Media.

Zübeyir Türkoğlu, Dokuz Eylül University.
Date: 6th of November, 2019, Wednesday, Time: 14.45 – 16.15.
Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Classroom B256.
Abstract: In this seminar, we will continue to talk about almost split short exact sequences.

Meltem GÜLLÜSAÇ, Dokuz Eylül University.
Date: 30th of October, 2019, Wednesday, Time: 14.45 – 16.15.
Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Classroom B256.
Abstract: In this seminar, we will talk about pure exact sequences and characterizations of pure injective modules.

Zübeyir Türkoğlu, Dokuz Eylül University.
Date: 23rd of October, 2019, Wednesday, Time: 14.45 – 16.15.
Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Classroom B256.
Abstract: In this seminar, we will talk about almost split short exact sequences. This notion is a special type of short exact sequences of modules and play a central role in the representation theory of Artin algebras.