Algebras generated by two idempotents

DOI10.1016/0024-3795(81)90166-XzbMath0459.16010MaRDI QIDQ1151948

Thomas J. Laffey

Publication date: 1981

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

zbMATH Keywords

finite dimensional division algebrasimple algebra generated by idempotents

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Finite rings and finite-dimensional associative algebras (16P10) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Conditions on elements (16U99) Division rings and semisimple Artin rings (16Kxx)

Related Items (13)

The effect of assuming the identity as a generator on the length of the matrix algebra ⋮ Simultaneous reduction of sets of matrices under similarity ⋮ On the diameters of commuting graphs ⋮ Common solution to the Lyapunov equation for \(2 \times 2\) complex matrices ⋮ Associative and Jordan algebras generated by two idempotents ⋮ Spectral classification of projections ⋮ Associative rings ⋮ On decomposing any matrix as a linear combination of three idempotents ⋮ A characterization of algebras generated by idempotents ⋮ Polynômes de degré minimum connectant deux projections dans une algèbre de Banach. (Polynomials of minimal degree connecting two projections in a Banach algebra) ⋮ Expressing infinite matrices as sums of idempotents ⋮ Pairs of matrices with quadratic minimal polynomials ⋮ On simple ring extensions generated by two idempotents

Cites Work

• Invariant Submodules of Simple Rings
• Connections between finite linear groups and linear algebra
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