Factorization and congruence in the arithmetics of Cayley's algebra

DOI10.1017/S001708950000820XzbMath0747.17027OpenAlexW2135699643MaRDI QIDQ3976904

Patrick J. C. Lamont

Publication date: 25 June 1992

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s001708950000820x

zbMATH Keywords

congruenceCayley algebraprime factorization

Mathematics Subject Classification ID

Quaternion and other division algebras: arithmetic, zeta functions (11R52) Division algebras and Jordan algebras (17C60)

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Cites Work

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• The nonexistence of a factorization formula for Cayley numbers
• The number of Cayley integers of given norm
• Computer generated natural inner automorphisms of Cayley's algebra
• Arithmetics in Cayley's algebra
• Factorization and arithmetic functions for orders in composition algebras