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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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2021 |
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| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2021
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/188675 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Spectra of locally matrix algebras / O. Bezushchak // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 1. — С. 17–36. — Бібліогр.: 11 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862633387069538304 |
|---|---|
| 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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| first_indexed | 2025-11-30T14:19:41Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188675 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| 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 |