The minimum number of idempotent generators of a complete blocked triangular matrix algebra

DOI10.1006/jabr.1999.8008zbMath0952.16019OpenAlexW2010217329MaRDI QIDQ1969480

Leon van Wyk, A. B. van der Merwe

Publication date: 9 January 2001

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/b241476804e263e61c915944fcf56fcb4895226f

zbMATH Keywords

nilpotent elementsnumbers of idempotentsidempotent generatorscomplete blocked triangular matrix rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Algebraic systems of matrices (15A30)

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On generators of incidence rings over finite posets ⋮ Algebras Generated by Two Quadratic Elements

Cites Work

• Algebras generated by idempotents and the symbol calculus for singular integral operators
• Artinian rings with restricted primeness conditions
• The minimum number of idempotent generators of an upper triangular matrix algebra
• On \(C^*\)-algebras generated by idempotents
• Minimal number of idempotent generators of matrix algebras over arbitrary field