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Morita equivalent unital locally matrix algebras

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 \(\alpha\...

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Bibliographic Details
Main Authors: Bezushchak, O., Oliynyk, B.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2020
Subjects:
locally matrix algebra
Steinitz number
Morita equivalence
03C05
03C60
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1545
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https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1545

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