Linna building, Väinö Linna auditorium, address: Kalevantie 5.
Doctoral defence of M.Sc. Maryam Akhavin
The field of science of the dissertation is Mathematics.
The opponent is Professor Santiago Zarzuela (University of Barcelona, Spain). Professor Eero Hyry acts as the custos.
The language of the dissertation defence is English.
The aim of this thesis is to present in the context of Gorenstein homological algebra the notion of a “G-Gorenstein complex” as the counterpart of the classical notion of a Gorenstein complex.
We investigate the structure of a G-Gorenstein complex. We will also find out in which extent classical results about Gorenstein complexes generalize to this case. We establish equivalences between the category of G-Gorenstein complexes of a fixed dimension and the G-class of modules.
In particular, the first category turns out to be equivalent with a category of Cousin complexes whose terms are Gorenstein injective and homology bounded and finitely generated.
The dissertation is published in the publication series of Acta Universitatis Tamperensis; 2236, Tampere University Press, Tampere 2016. ISBN 978-952-03-0287-0, ISSN 1455-1616. The dissertation is also published in the e-series Acta Electronica Universitatis Tamperensis; 1736, Tampere University Press 2016. ISBN 978-952-03-0288-7, ISSN 1456-954X.
Maryam Akhavin, Maryam.Akhavin@uta.fi