This article is cited in 17 papers

Orthogonal decompositions of associative algebras, and balanced systems of idempotents

D. N. Ivanov

Tver State University

Abstract: The divisibility conjecture for commutative orthogonal decompositions is proved. In addition, Hadamard decompositions and balanced systems of idem-potents are studied.

UDC: 512.538+512.542+519.1

MSC: Primary 16A46, 16A48; Secondary 16A32

Received: 26.02.1998

DOI: 10.4213/sm367

 English version: Sbornik: Mathematics, 1998, 189:12, 1819–1838

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