Algebra seminar
Dominik Krasula (MFF UK): Nakayama permutation and rings close to quasi-Frobenius rings
Abstract: A ring is quasi-Frobenius if it is an artinian cogenerator ring or, equivalently, an artinian ring whose respective lattices of left and right ideals are dual. Originally, quasi-Frobenius rings were defined via the Nakayama permutation. The talk concerns semiperfect rings with Nakayama permutations, in particular their relation to lattice self-duality and Morita self-duality. Representations of semiperfect rings as rings of generalised matrix rings are then recalled. This leads to a combinatorial characterisation of rings with a Nakayama permutation, which is compared with B. J. Müller's description of rings with Morita self-duality..
March 9 - 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.
