Quasi-Frobenius Rings Noyan Er, Dokuz Eylül University. Date: 25th of October, 1st, 8th and 15th of November, 2017, Wednesday. Time: 09:30-10:30 Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206. Abstract: This is the first of a series of talks on QF-rings and related questions. |
On Almost Perfect Rings Sinem Benli, İzmir Institute of Technology. Date: 18th of October, 2017, Wednesday. Time: 09:30-10:30 Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206. Abstract: In this talk, we shall give a brief summary about the motivating ideas for commutative almost perfect domains. After that, we can mention the generalization of ... Read more On Almost Perfect Rings |
On Periodic Modules Salahattin Özdemir, Dokuz Eylül University. Date: 27th of September, 4th and 11th of October, 2017, Wednesday. Time: 09:30 – 12:00. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206. Abstract: We will prove the well-known result by Benson and Goodearl about flat modules over an arbitrary ring R: If a ... Read more On Periodic Modules |
Jacobson Density Theorem and Its Applications Sinem Benli, İzmir Institute of Technology. Date: 20th of September, 2017, Wednesday. Time: 09:30-12:00 Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206. Abstract: Firstly, we introduce the notion of primitive rings. After giving some examples and mentioning the properties of this class of rings, we shall prove the famous ... Read more Jacobson Density Theorem and Its Applications |
Skolem-Noether Theorem and Double Centralizer Theorem Meltem Güllüsaç and Hikmet Burak Özcan, Dokuz Eylül University. Date: 9th, 16th and 23rd of August and 13th of September, 2017, Wednesday, Time: 09:30 – 12:00. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206. Abstract: After a review of tensor product of vector spaces and tensor product of algebras ... Read more Skolem-Noether Theorem and Double Centralizer Theorem |
Elementary Proofs of the Wedderburn-Artin Theorem Meltem Güllüsaç, Hikmet Burak Özcan and Sedef Taşkın, Dokuz Eylül University. Date: 2nd of August, 2017, Wednesday, Time: 09:30 – 17:00. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206. Abstract: We shall present three proofs of the Wedderburn-Artin Theorem. In the first proof for non-unital rings, we follow Szele’s ... Read more Elementary Proofs of the Wedderburn-Artin Theorem |
Simple Rings and Central Algebras Meltem Güllüsaç, Dokuz Eylül University. Date: 21st of June, 2017, Wednesday, Time: 09:30 – 12:00. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206. Abstract: We shall make an introduction to simple rings and central algebras. See the first chapter of the book by Matej Brešar. References [1] Matej Brešar, ... Read more Simple Rings and Central Algebras |
Finite Dimensional Division Algebras Hikmet Burak Özcan, Dokuz Eylül University. Date: 14th of June, 2017, Wednesday, Time: 09:30 – 12:00. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206. Abstract: We shall make an introduction to finite dimensional algebras over a field starting from finite dimensional division algebras. See the first chapters of the ... Read more Finite Dimensional Division Algebras |
Leavitt Path Algebras Tuğba Güroğlu, Celal Bayar University. Date: 24th and 31st of May, and 7th of June, 2017, Wednesday, Time: 09:30 – 12:00. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206. Abstract: Let E denote a directed graph and K be a field. The Leavitt path algebra of E with coefficient ... Read more Leavitt Path Algebras |
Nonstandard Analysis and Primality Test Haydar Göral, Koç University. Date: 17th of May, 2017, Wednesday, Time: 11:00 – 12:00. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206. Abstract: In this talk, we first define the height function and the Mahler measure from Diophantine geometry on the field of algebraic numbers. The height function measures ... Read more Nonstandard Analysis and Primality Test |
Path Algebras, Extended (Double) Graphs, Leavitt Path Algebras Tuğba Güroğlu, Celal Bayar University. Date: 3rd of May, 2017, Wednesday, Time: 09:30 – 12:00. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206. |
Maximal Quotient Rings M. Pınar Eroğlu, Dokuz Eylül University. Date: 26th of April, 2017, Wednesday, Time: 09:30 – 12:00. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206 |
Graph Theory Preliminaries for Leavitt Path Algebras Tuğba Güroğlu, Celal Bayar University. Date: 29th of March, 5th, 12th and 19th of April, 2017, Wednesday, Time: 09:30 – 12:00. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206. |
Rings of Quotients M. Pınar Eroğlu, Dokuz Eylül University. Date: 8th and 22nd of February, 8th of March, 26th of April, 2017, Wednesday, Time: 09:30 – 12:00. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206. Abstract: See the monograph by Beidar and Martindale and Mikhalev (Rings with generalized identities) |
C*-algebras Selçuk Demir, Dokuz Eylül University. Date: 25th of January, 1st and 15th of February, 1st, 15th and 22nd of March, 2017, Wednesday, Time: 09:30 – 12:00. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206. Abstract: The aim is to obtain the Gelfand-Naimark Theorem for C*-algebras. We firstly see commutative ... Read more C*-algebras |