Matrices over a commutative ring as sums of three idempotents or three involutions
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Publication:4646642
DOI10.1080/03081087.2017.1417969zbMath1403.16030arXiv1712.04607OpenAlexW2964044944MaRDI QIDQ4646642
Yiqiang Zhou, Huadong Su, Gaohua Tang
Publication date: 14 January 2019
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.04607
Related Items (17)
When is every matrix over a ring the sum of two tripotents? ⋮ Decompositions of matrices into diagonalizable and square-zero matrices ⋮ On Some Decompositions of Matrices over Algebraically Closed and Finite Fields ⋮ Triangular idempotent matrices over a general ring ⋮ Unnamed Item ⋮ Rings whose elements are sums or minus sums of three commuting idempotents ⋮ On characterization of tripotent matrices in triangular matrix rings ⋮ Waring problem for matrices over finite fields ⋮ Rings over which matrices are sums of idempotent and \(q \)-potent matrices ⋮ Rings whose elements are sums of three or differences of two commuting idempotents ⋮ Rings whose elements are linear combinations of three commuting idempotents ⋮ On the idempotent and nilpotent sum numbers of matrices over certain indecomposable rings and related concepts ⋮ Unnamed Item ⋮ Idempotents in triangular matrix rings ⋮ Strongly \(q\)-nil-clean rings ⋮ Unnamed Item ⋮ When is a matrix a sum of involutions or tripotents?
Cites Work
- Unnamed Item
- On decomposing any matrix as a linear combination of three idempotents
- On sums of idempotent matrices over a field of positive characteristic
- Diagonalizability of idempotent matrices over noncommutative rings
- Diagonability of idempotent matrices
- Rings in which Every Element is a Sum of Two Tripotents
- Rings in which every element is the sum of two idempotents
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