On an identity of Schur

DOI10.1080/03081088308817491zbMath0507.15003OpenAlexW2016577964MaRDI QIDQ4744399

Robert M. Guralnick

Publication date: 1983

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081088308817491

zbMATH Keywords

determinantinversedivision ringblock matrixE-ring

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Determinants, permanents, traces, other special matrix functions (15A15) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Cites Work

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• Herleitung von Acht- und Sechzehn-Quadrate-Identitäten mit Hilfe von Eigenschaften der verallgemeinerten Quaternionen und der Cayley-Dicksonschen Zahlen
• A determinental identity for quaternions and a new eight square identity
• Invertibility of matrices with almost-commuting entries
• An extension of a theorem of Schur
• On a theorem of herstein and small

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