Matrix structures in the form of finite direct sums and chains

E. A. Blagoveshchenskaya ; O. V. Markova

Fundamentalʹnaâ i prikladnaâ matematika, Tome 25 (2024) no. 1, pp. 31-51.

Résumé

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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