Finiteness Conditions in Homological Algebra: Interactions and Applications (FiCiHAlgIA)

Τhe resarch project FiCiHAlgIA is funded by the Hellenic Foundation for Research and Innovation (HFRI) under the “First Call for H.F.R.I. Research Projects to support Faculty members and Researchers”. The objective of the project is to study certain problems in algebra and, in particular, the theory of modules over groups and rings, using homological methods and techniques. The proposed research will lead to a deeper understanding of the structure of groups and rings and improve our knowledge of the way these algebraic objects are used in geometry and representation theory.

People

• Ioannis Emmanouil, Professor (PI)
• Olympia Talelli, Professor Emerita
• Dimitrios Ballas, Post-doctoral researcher
• Dimitra-Dionysia Stergiopoulou , Post-doctoral researcher
• Constantinos Chatzistavridis, doctoral student
• Ilias Kaperonis, doctoral student
• Georgios Dalezios, Post-doctoral researcher (affiliated)

Research

• On Certain Homological Invariants For Coherent Rings PDF
• On The Gorenstein Cohomological Dimension Of Group Extensions PDF
• Modules Of Finite Gorestein Flat Dimension And Approximations PDF
• Homological Independence Of Infinite Syzygies PDF
• On K-Absolutely Pure Complexes PDF
• K-flatness And Orthogonality In Homotopy Categories PDF
• Homological Dimension Based On a Class Of Gorenstein Flat Modules PDF
• Strongly n-projectively Coresolved Gorenstein Flat Modules PDF