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1. Algebra and Number Theory

Change of scalars and bounded silting complexes

Simion Breaz
Babeş-Bolyai University, Cluj-Napoca, Romania

Abstract:

I will discuss the transfer, via extension of scalars functors, of the (co)silting property associated to some complexes (as objects in the derived category of a module category). In the case of commutative rings, we will see that the derived versions of the (co)extension of scalars functors preserve (co)silting objects of (co)finite type. In the last part of the talk, I will discuss some cases when these functors reflect the (co)silting property.