5 papers
A theorem on support --tilting pairs
Gabriella D'Este
We show that there is a special bijection between the indecomposable summands of the two modules which form a basic support --tilting pair and the indecomposable summands of the…
A bijection between the indecomposable summands of two multiplicity free tilting modules
Gabriella D'Este, H. Melis Tekin Akcin
We show that there is a reflection type bijection between the indecomposable summands of two multiplicity free tilting modules and . This bijection fixes the common indecomp…
Isomorphism Problem For Uniserial Modules Over An Arbitrary Ring
Gabriella D'Este, Fatma Kaynarca, Derya Keskin Tütüncü
Firstly, we give a partial solution to the isomorphism problem for uniserial modules of finite length with the help of the morphisms between these modules over an arbitrary ring. L…
A personal survey on recent and less recent results on tilting theory
Gabriella D'Este
This note is the written version of conversations with young colleagues on unofficial history, general ideas, unexpected facts and open problems concerning tilting theory.
Unofficial history of a joint work with Dieter Happel and of two unexpected quotations
Gabriella D'Este
This survey contains a recollection of results, problems and conversations which go back to the early years of Representation Theory and Tilting Theory.