On the idempotent and nilpotent sum numbers of matrices over certain indecomposable rings and related concepts
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Publication:2028180
DOI10.30970/ms.55.1.24-32zbMath1466.15020OpenAlexW3135077462MaRDI QIDQ2028180
Publication date: 31 May 2021
Published in: Matematychni Studiï (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.30970/ms.55.1.24-32
Group rings (16S34) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrices over function rings in one or more variables (15A54) Units, groups of units (associative rings and algebras) (16U60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)
Cites Work
- On decomposing any matrix as a linear combination of three idempotents
- On sums of idempotent matrices over a field of positive characteristic
- On expressing matrices over \(\mathbb{Z}_2\) as the sum of an idempotent and a nilpotent
- Rings whose elements are sums of three or differences of two commuting idempotents
- Rings whose elements are linear combinations of three commuting idempotents
- Expressing infinite matrices as sums of idempotents
- Rings whose elements are sums or minus sums of two commuting idempotents
- Rings whose elements are sums or minus sums of three commuting idempotents
- Nil-clean matrix rings
- Sums of nilpotent matrices
- Commutators in Division Rings
- When is a matrix a difference of two idempotents
- Rings in which every element is the sum of two idempotents
- Matrices over a commutative ring as sums of three idempotents or three involutions
- Certain Properties of Square Matrices over Fields with Applications to Rings
- Decompositions of matrices into potent and square-zero matrices
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