Algebraický seminář
Jan Šaroch (MFF UK): On λ-pure-injective modules
Abstract: Although the notion of λ-pure-injectivity is a natural generalisation of the well-known pure-injectivity, as well as the dual counterpart of the (much more common) notion of λ-purity, it turns out that its utilisation is rather limited. We show why it is the case: somewhat surprisingly, it is consistent with ZFC that, for any ring R and any regular uncountable cardinal λ, the class of λ-pure-injective modules coincides with the class of pure-injective ones. The case λ = \aleph_1 is even provable in ZFC. (This is part of a joint work with Manuel Cortés-Izurdiaga.)
November 24 - TBA
The Algebra Seminar was founded by Vladimir Korinek in the early 1950's and continued by Karel Drbohlav until 1981. The seminar resumed its activities in 1990 under the guidance of Jaroslav Jezek and Tomas Kepka. Since 1994, the seminar is headed by Jan Trlifaj.
Presently, the seminar is supported by GACR. It serves primarily as a platform for presentation of recent research of the visitors to the Department of Algebra as well as members of the Department and their students.
