Morita equivalent unital locally matrix algebras

• Дата: 2020
• Автори: Bezushchak, O., Oliynyk, B.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2020
• Теми: locally matrix algebra; Steinitz number; Morita equivalence; 03C05; 03C60
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1545
• Назва журналу: Algebra and Discrete Mathematics

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\...