The minimum number of idempotent generators of an upper triangular matrix algebra

DOI10.1006/jabr.1997.7405zbMath0913.16014OpenAlexW2085723972MaRDI QIDQ1270387

A. B. van der Merwe, Andrei V. Kelarev, Leon van Wyk

Publication date: 29 November 1998

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

Full work available at URL: https://semanticscholar.org/paper/4124ab25ccc302e2170f7f8fe0d81076eec247dd

zbMATH Keywords

upper triangular matrix algebrasupper triangular matrix ringsstructural matrix ringsidempotent generators

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15)

Related Items (5)

Triangular idempotent matrices over a general ring ⋮ On generators of incidence rings over finite posets ⋮ The minimum number of idempotent generators of a complete blocked triangular matrix algebra ⋮ Algebras Generated by Two Quadratic Elements ⋮ Triangular matrix representations

Cites Work

• Algebras generated by idempotents and the symbol calculus for singular integral operators
• On \(C^*\)-algebras generated by idempotents
• Matrix rings satisfying column sum conditions versus structural matrix rings
• Minimal number of idempotent generators of matrix algebras over arbitrary field
• An internal characterisation of structural matrix rings
• Idempotents in Matrix Rings

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