Morita equivalent unital locally matrix algebras
| dc.contributor.author | Bezushchak, Oksana | |
| dc.contributor.author | Oliynyk, Bogdana | |
| dc.date.accessioned | 2021-02-04T22:04:20Z | |
| dc.date.available | 2021-02-04T22:04:20Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | 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 dimFA=dimFB=α, st(A)=st(B)=s, however, the algebras A, B are not Morita equivalent. | en_US |
| dc.identifier.citation | Bezushchak O. Morita equivalent unital locally matrix algebras [electronic resource] / Bezushchak O., Oliynyk B. // Algebra and Discrete Mathematics. - 2020. - Vol. 29, Issue 2. - P. 173-179. | en_US |
| dc.identifier.uri | https://doi.org/10.12958/adm1545 | |
| dc.identifier.uri | https://ekmair.ukma.edu.ua/handle/123456789/19413 | |
| dc.language.iso | en | uk_UA |
| dc.relation.source | Algebra and Discrete Mathematics. | en_US |
| dc.status | first published | uk_UA |
| dc.subject | locally matrix algebra | en_US |
| dc.subject | Steinitz number | en_US |
| dc.subject | Morita equivalence | en_US |
| dc.subject | article | en_US |
| dc.title | Morita equivalent unital locally matrix algebras | en_US |
| dc.type | Article | uk_UA |
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