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Morita equivalent unital locally matrix algebras
Репозиторій DSpace/Manakin
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Morita equivalent unital locally matrix algebras
Інший ID:
2010 MSC: 03C05, 03C60.
DOI:10.12958/adm1545
DOI:10.12958/adm1545
Посилання:
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.
Підтримка:
The second author was partially supported by the grant for scientific researchers of the “Povir u sebe” Ukranian Foundation.
Дата:
2020
Переглядів:
184
Завантажень:
108
Анотація:
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.
