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Polynomial and algebraic computationMatrix Theory and AlgorithmsAlgebraic and Geometric Analysis

MATRIX STRUCTURES IN THE FORM OF FINITE DIRECT SUMS AND CHAINS

E. Blagoveshchenskaya, O. Markova

2026.2.19Journal of Mathematical Sciences

DOI: 10.1007/s10958-026-08241-5

Abstract

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.

Citation format

BLAGOVESHCHENSKAYA, E.; MARKOVA, O. MATRIX STRUCTURES IN THE FORM OF FINITE DIRECT SUMS AND CHAINS. Journal of Mathematical Sciences, 2026, 296(2): 168–182.