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Prof. Viktor Levandovskyy (Universität Kassel): Torsion, Localization and Applications
Vertr.-Prof. Dr. Viktor Levandovskyy (Universität Kassel)
Abstract:
The algebraization of some parts of mathematics continues in a good pace since the 1950's. One of the successes is the field called "algebraic analysis". I will talk on the algebraic localization, meaning passing from rings to bigger rings towards the ring (or even the field) of fractions. On modules over rings such a localization causes vanishinng of the whole submodule, called the torsion submodule. Despite the abstact generality, these notions are instrumental in research and are helpful in applications. Thus an algorithmic treatment of these is of big interest.