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:Англійська
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
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author Bezushchak, O.
author_facet Bezushchak, O.
citation_txt Spectra of locally matrix algebras / O. Bezushchak // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 1. — С. 17–36. — Бібліогр.: 11 назв. — англ.
collection DSpace DC
container_title Algebra and Discrete Mathematics
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.
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
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language English
last_indexed 2025-11-30T14:19:41Z
publishDate 2021
publisher Інститут прикладної математики і механіки НАН України
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
spellingShingle Spectra of locally matrix algebras
Bezushchak, O.
title 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_short Spectra of locally matrix algebras
title_sort spectra of locally matrix algebras
url https://nasplib.isofts.kiev.ua/handle/123456789/188675
work_keys_str_mv AT bezushchako spectraoflocallymatrixalgebras