Geodesic
Spectra of locally matrix algebras
Algebra and discrete mathematics, Tome 31 (2021) no. 1, pp. 17-36

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We describe spectra of associative (not necessarily unital and not necessarily countable-dimensional) locally matrix algebras. We determine all possible spectra of locally matrix algebras and give a new proof of Dixmier–Baranov Theorem. As an application of our description of spectra, we determine embeddings of locally matrix algebras.
Keywords: locally matrix algebra, Steinitz number, spectrum, embedding. 
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     author = {O. Bezushchak},
     title = {Spectra of locally matrix algebras},
     journal = {Algebra and discrete mathematics},
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     url = {http://geodesic.mathdoc.fr/item/ADM_2021_31_1_a1/}
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O. Bezushchak. Spectra of locally matrix algebras. Algebra and discrete mathematics, Tome 31 (2021) no. 1, pp. 17-36. http://geodesic.mathdoc.fr/item/ADM_2021_31_1_a1/