Fatma Kaynarca, Afyon Kocatepe University.
Date: 29th of November, 2022, Tuesday, Time: 13.00 – 16.30.
Place: Online-Sakai-Graduate Meetings
Abstract: In this seminar, the existence of almost split sequences in the category of modules built on a finite-dimensional algebra will be proved with a functorial approach.
M. Pınar Eroğlu, Dokuz Eylül University. Date: 25th of October, 2022, Tuesday, Time: 13:30 - 15:30. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206. Abstract: A general result on higher commutators due to Herstein I.N. states that if A is a noncommutative simple algebra over a field of characteristic not 2, then the only higher commutators of A are A and [A,A]. For a more general approach, the question that arises naturally is: Which assumptions should be required to obtain a result similar to above in the case where A is an arbitrary noncommutative unital algebra? In this talk, we characterize higher commutators of unital algebras discussing the question above.
Fatma Kaynarca, Afyon Kocatepe University.
Date: 21th of November, 2022, Tuesday, Time: 13.00 – 16.30.
Place: Online-Sakai-Graduate Meetings
Abstract: In this seminar, almost split morphisms, another concept that use to characterize almost split sequences, will be introduced and their relationship to irreducible morphisms and minimal morphisms will be examined.
Fatma Kaynarca, Afyon Kocatepe University.
Date: 15th of November, 2022, Tuesday, Time: 13.00 – 14.00.
Place: Online-Sakai-Graduate Meetings
Abstract: Almost split sequences arose from an attempt to understand the morphisms lying in the radical of a module category are minimal non-split short exact sequences. This sequences were introduced by Maurice Auslander and Idun Reitenin 1974-1975 and have become a central tool in the theory of representations of finite dimensional algebras. We start our discussion in seminar with a short description of the radical of a module category. Then we will define and study irreducible morphisms, almost split morphisms, minimal morphisms, almost split sequences and also give some characterizations of these notions.
Ulusal Matematik Sempozyumlarının 34’üncüsü, Türk Matematik Derneğinin desteği ile Dokuz Eylül Üniversitesi Matematik Bölümünde, 31 Ağustos-3 Eylül 2022 tarihleri arasında yüzyüze gerçekleştirilecektir. 1988 yılından beri gerçekleştirilen Ulusal Matematik Sempozyumlarının programı, genel konuşma, çağrılı ana konuşmalar, dizi konuşmalar ve genç araştırmacı konuşmaları, kısa konuşmalar ve poster sunumlarından oluşmaktadır.
İzmir’in kurtuluşunun 100. yılında sizleri ağırlamaktan gurur ve mutluluk duyacağız.
Zübeyir Türkoğlu, Dokuz Eylül University.
Date: 8th of November, 2022, Tuesday, Time: 13:30 – 15:30.
Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206.
Abstract: In this seminar we will continue to talk about isoartinian, isonoetherian and isosimple modules and rings, see [1]. First we will give characterizations of being right Noetherian ring over semiprime right isoartinian rings. Then we can talk about some open problems. Finally, we will talk about what has been done about these concepts and what we can do.
References
[1] A. Facchini and Z. Nazemian, Modules with chain conditions up to isomorphism, Journal of Algebra, pp. 578–601, Vol. 453, 2016.