Morita equivalent unital locally matrix algebras
We describe Morita equivalence of unital locally matrix algebras in terms of their Steinitz parametrization. Two countable-dimensional unital locally matrix algebras are Morita equivalent if and only if their Steinitz numbers are rationally connected. For an arbitrary uncountable dimension α and an...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2020 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2020
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/188513 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Morita equivalent unital locally matrix algebras / O. Bezushchak, B. Oliynyk // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 2. — С. 173–179. — Бібліогр.: 18 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862568981580218368 |
|---|---|
| author | Bezushchak, O. Oliynyk, B. |
| author_facet | Bezushchak, O. Oliynyk, B. |
| citation_txt | Morita equivalent unital locally matrix algebras / O. Bezushchak, B. Oliynyk // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 2. — С. 173–179. — Бібліогр.: 18 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | We describe Morita equivalence of unital locally matrix algebras in terms of their Steinitz parametrization. Two countable-dimensional unital locally matrix algebras are Morita equivalent if and only if their Steinitz numbers are rationally connected. For an arbitrary uncountable dimension α and an arbitrary not locally finite Steinitz number s there exist unital locally matrix algebras A, B such that dimF A = dimF B = α, st(A) = st(B) = s, however, the algebras A, B are not Morita equivalent.
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| first_indexed | 2025-11-26T01:45:40Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188513 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-26T01:45:40Z |
| publishDate | 2020 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Bezushchak, O. Oliynyk, B. 2023-03-03T19:33:11Z 2023-03-03T19:33:11Z 2020 Morita equivalent unital locally matrix algebras / O. Bezushchak, B. Oliynyk // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 2. — С. 173–179. — Бібліогр.: 18 назв. — англ. 1726-3255 2010 MSC: 03C05, 03C60. DOI:10.12958/adm1545 https://nasplib.isofts.kiev.ua/handle/123456789/188513 We describe Morita equivalence of unital locally matrix algebras in terms of their Steinitz parametrization. Two countable-dimensional unital locally matrix algebras are Morita equivalent if and only if their Steinitz numbers are rationally connected. For an arbitrary uncountable dimension α and an arbitrary not locally finite Steinitz number s there exist unital locally matrix algebras A, B such that dimF A = dimF B = α, st(A) = st(B) = s, however, the algebras A, B are not Morita equivalent. The second author was partially supported by the grant for scientific researchers of the “Povir u sebe” Ukranian Foundation. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Morita equivalent unital locally matrix algebras Article published earlier |
| spellingShingle | Morita equivalent unital locally matrix algebras Bezushchak, O. Oliynyk, B. |
| title | Morita equivalent unital locally matrix algebras |
| title_full | Morita equivalent unital locally matrix algebras |
| title_fullStr | Morita equivalent unital locally matrix algebras |
| title_full_unstemmed | Morita equivalent unital locally matrix algebras |
| title_short | Morita equivalent unital locally matrix algebras |
| title_sort | morita equivalent unital locally matrix algebras |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188513 |
| work_keys_str_mv | AT bezushchako moritaequivalentunitallocallymatrixalgebras AT oliynykb moritaequivalentunitallocallymatrixalgebras |