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JOURNALS // Matematicheskii Sbornik // Archive
Mat. Sb., 2001 Volume 192, Number 6, Pages 3–14 (Mi sm569)
Identities of nearly triangular matrices

A. È. Guterman

M. V. Lomonosov Moscow State University

Abstract: Algebras of nearly triangular matrices over a field are studied. For an infinite field, a basis of the ideal of identities is found. For a field of characteristic zero, the growth of identities is investigated.

UDC: 512.552

MSC: 16R40, 16P90

Received: 20.09.2000

DOI: 10.4213/sm569


 English version: Sbornik: Mathematics, 2001, 192:6, 795–806

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© Steklov Math. Inst. of RAS, 2025