Minimal number of idempotent generators of matrix algebras over arbitrary field

DOI10.1080/00927879208824513zbMath0783.16015OpenAlexW1978509624MaRDI QIDQ4029252

N. Ya. Krupnik

Publication date: 10 March 1993

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

Full work available at URL: https://doi.org/10.1080/00927879208824513

zbMATH Keywords

matrix algebrasgenerated by idempotentsminimal number of idempotent generatorssplit finite-dimensional semi-simple algebra

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)

Related Items (5)

The minimum number of idempotent generators of a complete blocked triangular matrix algebra ⋮ Algebras Generated by Two Quadratic Elements ⋮ Minimal number of idempotent generators for certain algebras ⋮ Group inversion in certain finite-dimensional algebras generated by two idempotents ⋮ The minimum number of idempotent generators of an upper triangular matrix algebra

Cites Work

• Unnamed Item
• Algebras generated by idempotents and the symbol calculus for singular integral operators

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