Spectra of locally matrix algebras

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 e...

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Опубліковано в: :Algebra and Discrete Mathematics
Дата:2021
Автор: Bezushchak, O.
Формат: Стаття
Мова:English
Опубліковано: Інститут прикладної математики і механіки НАН України 2021
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/188675
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Spectra of locally matrix algebras / O. Bezushchak // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 1. — С. 17–36. — Бібліогр.: 11 назв. — англ.

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-188675
record_format dspace
spelling Bezushchak, O.
2023-03-11T13:10:28Z
2023-03-11T13:10:28Z
2021
Spectra of locally matrix algebras / O. Bezushchak // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 1. — С. 17–36. — Бібліогр.: 11 назв. — англ.
1726-3255
DOI:10.12958/adm1734
2020 MSC: 08A05, 16S50
https://nasplib.isofts.kiev.ua/handle/123456789/188675
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.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
Spectra of locally matrix algebras
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Spectra of locally matrix algebras
spellingShingle Spectra of locally matrix algebras
Bezushchak, O.
title_short Spectra of locally matrix algebras
title_full Spectra of locally matrix algebras
title_fullStr Spectra of locally matrix algebras
title_full_unstemmed Spectra of locally matrix algebras
title_sort spectra of locally matrix algebras
author Bezushchak, O.
author_facet Bezushchak, O.
publishDate 2021
language English
container_title Algebra and Discrete Mathematics
publisher Інститут прикладної математики і механіки НАН України
format Article
description 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.
issn 1726-3255
url https://nasplib.isofts.kiev.ua/handle/123456789/188675
citation_txt Spectra of locally matrix algebras / O. Bezushchak // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 1. — С. 17–36. — Бібліогр.: 11 назв. — англ.
work_keys_str_mv AT bezushchako spectraoflocallymatrixalgebras
first_indexed 2025-11-30T14:19:41Z
last_indexed 2025-11-30T14:19:41Z
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