Morita equivalent unital locally matrix algebras

• Published in: Algebra and Discrete Mathematics
• Date: 2020
• Main Authors: Bezushchak, O., Oliynyk, B.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188513
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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...