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Seminario MALGA Padova Verona - Moduli Algebre Anelli: “Torsion and cotorsion over arbitrary rings”

Venerdì 23 Giugno 2017, ore 11:00 - Aula 1BC50 - Alex Martsinkovsky

ARGOMENTI: Seminars

Venerdì 23 Giugno 2017 alle ore 11:00 in Aula 1BC50, Alex Martsinkovsky (Northeastern University) terrà un seminario dal titolo “Torsion and cotorsion over arbitrary rings”, nell'ambito del Seminario Padova-Verona MALGA - Moduli Algebre Anelli.

Abstract
The goal of this talk is threefold. First, we define a common generalization of the classical torsion over commutative domains and the 1-torsion (i.e., the kernel of the map from a module to its bidual) of finitely presented modules over arbitrary rings. This is done without any assumption on the ring or the module. Secondly, based on this definition, we introduce (again in full generality) a dual concept of the cotorsion module of a module. Unlike torsion, this concept does not seem to have a classical prototype. Thirdly, we describe various dualities between the two concepts.