Geodesic
Matrix structures in the form of finite direct sums and chains
Fundamentalʹnaâ i prikladnaâ matematika, Tome 25 (2024) no. 1, pp. 31-51

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Infinite matrix algebras of block-diagonal form over different fields with full matrix algebras on the diagonal and their matrix subrings over $\mathbb Q$ are considered. Various existing representations as finite direct sums and chains are described, and numerical characteristics and special construction features of these structures are analyzed. 
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     title = {Matrix structures in the form of finite direct sums and chains},
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E. A. Blagoveshchenskaya; O. V. Markova. Matrix structures in the form of finite direct sums and chains. Fundamentalʹnaâ i prikladnaâ matematika, Tome 25 (2024) no. 1, pp. 31-51. http://geodesic.mathdoc.fr/item/FPM_2024_25_1_a1/