Bezushchak, OksanaOliynyk, Bogdana2021-02-042021-02-042020Bezushchak 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.https://doi.org/10.12958/adm1545https://ekmair.ukma.edu.ua/handle/123456789/19413We 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.enlocally matrix algebraSteinitz numberMorita equivalencearticleArticle