On the idempotents, nilpotents, units and zero-divisors of finite rings

DOI10.1080/03081087.2017.1418826zbMath1403.16016OpenAlexW2781605808MaRDI QIDQ4646646

Nader M. Ghosseiri, Hassan Cheraghpour

Publication date: 14 January 2019

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

Full work available at URL: https://doi.org/10.1080/03081087.2017.1418826

zbMATH Keywords

idempotentunitnilpotentmatrix ringzero-divisorquaternion ring

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Finite rings and finite-dimensional associative algebras (16P10) Conditions on elements (16U99)

Related Items (3)

On characterization of tripotent matrices in triangular matrix rings ⋮ Matrices having nonzero outer inverses ⋮ Bounds for the number of idempotents in finite rings

Cites Work

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• Counting symmetric nilpotent matrices
• The probability that a matrix be nilpotent
• On the number of nilpotent matrices with coefficients in a finite field
• Counting nilpotent endomorphisms
• Some questions concerning superderivations on \({\mathbb {Z}}_{2}\)-graded rings
• Diagonability of idempotent matrices
• A Note on Counting Nilpotent Matrices of Fixed Rank

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