PRIN 2017 - Categories, Algebras: Ring-Theoretical and Homological Approaches (CARTHA)

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  4. PRIN 2017 - Categories, Algebras: Ring-Theoretical and Homological Approaches (CARTHA)
Starting date
January 1, 2019
Duration (months)
36
Departments
Computer Science
Managers or local contacts
Angeleri Lidia

This is a large-scale and extremely articulated project that deals with several areas of Algebra . The Local Unit Verona is mainly working on the following aspects:
- The lattice of ring epimorphisms starting in a given ring and sublattices parametrised by silting objects.
- Geometric classification of localisations of a commutative noetherian ring.
- Leavitt path algebras and their modules: description of the projective and the injective modules and of the lattice of one-sided ideals.
- Classification problems over domestic gentle algebras and concealed canonical algebras of tubular type.
- Finite dimensional algebras whose universal localisations are all finite dimensional.

Sponsors:

Ministero dell'Università e della Ricerca Scientifica
Funds: assigned and managed by the department

Project participants

Lidia Angeleri
Full Professor
Francesca Mantese
Associate Professor
Alessandro Rapa
Research Scholarship Holders
Lleonard Rubio Y Degrassi
Temporary Professor
Francesco Sentieri
PhD student
Research areas involved in the project
Matematica discreta e computazionale
Homological algebra
Matematica discreta e computazionale
Representation theory of rings and algebras

Activities

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