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Gabriella D'Este

Publications and source records attributed to Gabriella D'Este.

6 recordsLinked to original sources
arXiv2025

A theorem on support $τ$--tilting pairs

We show that there is a special bijection between the indecomposable summands of the two modules which form a basic support $τ$--tilting pair and the indecomposable summands of the two modules which form another basic support $τ$--tilting pair.

math.RT↗
arXiv2021

A bijection between the indecomposable summands of two multiplicity free tilting modules

We show that there is a reflection type bijection between the indecomposable summands of two multiplicity free tilting modules $X$ and $Y$. This bijection fixes the common indecomposable summands of $X$ and $Y$ and sends indecomposable projective (resp., injective) summands of exactly one module to non-projective (resp., non-injective) summands of the other. Moreover, this bijection interchanges the two possible non-isomorphic complements of an almost complete tilting module.

math.RT↗
arXiv2019

Isomorphism Problem For Uniserial Modules Over An Arbitrary Ring

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. Later, under suitable assumptions on the lattice of the submodules, we give a method to partially solve the isomorphism problem for uniserial modules over an arbitrary ring. Particular attention is given to the natural class of uniserial modules defined over algebras given by quivers.

math.RT↗