Algebra Seminars


Haydar Göral, İzmir Institute of Technology . Date: 26th of April, 2024, Friday, Time: 13.00 – 14.00. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Class B255 Abstract: In this talk, we first define ultrafilters on a non-empty set. Then, we see that there is a natural topology on the set ... Read more Ultrafilters and Some of Their Applications

M. R. Pournaki, Sharif University of Technology. Date: 29th of March, 2024, Friday, Time: 13.00 – 14.00. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Classroom B255. Abstract: One of the fundamental cornerstones of commutative ring theory is the prime avoidance theorem, which states that, if are prime ideals of and ... Read more A Countable Prime Avoidance Theorem and Its Generalization to Prime Submodules

M. R. Pournaki, Sharif University of Technology. Date: 22nd of March, 2024, Friday, Time: 13.00 – 14.00. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Classroom B255. Abstract: Stanley depth is a geometric invariant of a module which has some common properties with the homological depth invariant. In this talk, we ... Read more A Glimpse to the Stanley Depth: A Geometric Invariant for Modules

M. R. Pournaki, Sharif University of Technology. Date: 15th of March, 2024, Friday, Time: 13.00 – 14.00. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Classroom B255. Abstract: The ring , having only one unit, cannot be generated by its units. It turns out, in the general theory of rings, that ... Read more A Glimpse to Unit Graphs: The Graphs Arising From Rings

M. R. Pournaki, Sharif University of Technology. Date: 8th of March, 2024, Friday, Time: 13.00 – 14.00. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Class B255. Abstract: Fermat’s little theorem states that if is a prime number, then (mod ) holds true for any integer . One may ask what ... Read more When Three Subjects of Mathematics Meet Each Other

Orhun Kara, İzmir Institute of Technology . Date: 31th of January, 2024, Wednesday, Time: 10.30 – 12.00. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206 (Online-Sakai-Graduate Meetings). Abstract: The NIST Advanced Encryption Standard, AES, is without doubt the most used encryption algorithm all over the world. AES supplies confidentiality ... Read more AES Encryption Surrounds Us; We Surround AES Encryption

Mustafa Kemal Turak, Dokuz Eylül University. Date: 4th of  January, 2024, Thursday, Time: 11.00 – 12:00. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206. Abstract: In this talk, we will first give the definition of cyclic codes. We will then show that each cyclic code can be seen as an ... Read more Binary Cyclic Group Codes

Canan Özeren, Dokuz Eylül University. Date: 6th of December, 2023, Wednesday, Time: 13.30 – 14.30. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206 (Online-Sakai-Graduate Meetings). Abstract: Torsion-free covers exist for abelian groups (see [1]). The coGalois group of automorphisms a torsion-free cover of an abelian group is defined in [2] ... Read more Torsion Free Covers of Line Quivers

Keremcan Doğan , İstanbul Technical University Postdoctoral Researcher. Date: 10th of  November, 2023, Friday. Time: 12.30 – 13.30. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206. Abstract: In this talk, we will first explain why algebroids constitute a good framework for generalizations of geometric structures suitable for string and ... Read more Bialgebroids and Dual Calculus

Mücahit Bozkurt, Manisa Celal Bayar University. Date: 1st of  November, 2023, Wednesday, Time: 13:30 – 14:30. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206 (Online-Sakai-Graduate Meetings). Abstract: Let be a ring with identity and let and be -modules ( a right -module and a left R-module). We denote the tensor ... Read more Tensor Product II

Mücahit Bozkurt, Manisa Celal Bayar University. Date: 25th of  October, 2023, Wednesday, Time: 13:30 – 14:30. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206 (Online-Sakai-Graduate Meetings). Abstract: Let be a ring with identity and let and be -modules ( a right -module and a left R-module). In this talk, we ... Read more Tensor Product

Mücahit Bozkurt, Manisa Celal Bayar University. Date: 7th of  June, 2023, Wednesday, Time: 10:30 – 12:00. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206 (Online-Sakai-Graduate Meetings). Abstract: Every injective module over a noetherian ring is a direct sum of directly indecomposable submodules. The question arises as to whether and in ... Read more Local Rings: Krull-Remak-Schmidt Theorem II

Mücahit Bozkurt, Manisa Celal Bayar University. Date: 24th of May, 2023, Wednesday, Time: 10:30 – 12:00. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206 (Online-Sakai-Graduate Meetings). Abstract: Every injective module over a noetherian ring is a direct sum of directly indecomposable submodules. The question arises as to whether and in ... Read more Local Rings: Krull-Remak-Schmidt Theorem

Canan Özeren, Dokuz Eylül University. Date: 10th of May, 2023, Wednesday, Time: 10:30 – 12:00. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206 (Online-Sakai-Graduate Meetings). Abstract:  We will continue to talk about the existence and uniqueness (up to isomorphism) torsion-free covers of modules over an integral domain (see [1]). ... Read more The Torsion Free Covers II

Canan Özeren, Dokuz Eylül University. Date: 03rd of May, 2023, Wednesday, Time: 10:30 – 12:00. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206 (Online-Sakai-Graduate Meetings). Abstract:  We talk about the existence and uniqueness (up to isomorphism) torsion-free covers of modules over an integral domain (see [1]). We show that ... Read more The Torsion Free Covers