Nie jesteś zalogowany |
Locally matrix and locally standard algebras and Steinitz numbers
- Prelegent(ci)
- Bogdana Oliynyk
- Afiliacja
- Politechnika Śląska
- Język referatu
- angielski
- Termin
- 20 lutego 2025 12:15
- Link
- https://uw-edu-pl.zoom.us/j/98300776179?pwd=rQz64ILq7lBS5bD1bsfHTPtqikClEG.1
- Informacje na temat wydarzenia
- online talk
- Seminarium
- Seminarium „Algebra”
In this talk, based on joint papers with Oksana Bezushchak, we consider parametrization of locally matrix and locally standard algebras by Steinitz numbers. Glimm showed that every countable-dimensional unital locally matrix algebra is uniquely determined by its Steinitz number. We assign a Steinitz number st(A) with uncountable-dimensional unital locally matrix algebra A. We use this assignment to give a negative answer to Kurochkin's question about primary decompositions of locally matrix algebras. We will also discuss a parameterization of countable locally standard algebras by pairs of a Steinitz number and a real number greater or equal to 1. The last parametrization is an analog of the theorems of Dixmier and Baranov.
