This article is cited in 1 paper

RESEARCH ARTICLE

Spectra of locally matrix algebras

O. Bezushchak

Faculty of Mechanics and Mathematics, Taras Shevchenko National University of Kyiv, Volodymyrska, 60, Kyiv 01033, Ukraine

Abstract: We describe spectra of associative (not necessarily unital and not necessarily countable-dimensional) locally matrix algebras. We determine all possible spectra of locally matrix algebras and give a new proof of Dixmier–Baranov Theorem. As an application of our description of spectra, we determine embeddings of locally matrix algebras.

Keywords: locally matrix algebra, Steinitz number, spectrum, embedding.

MSC: 08A05, 16S50

Received: 08.12.2020
Revised: 15.02.2021

Language: English

DOI: 10.12958/adm1734