Nil-clean companion matrices

DOI10.1016/j.laa.2015.10.005zbMath1327.15030arXiv1503.06668OpenAlexW2963354426MaRDI QIDQ891526

George Ciprian Modoi, Simion Sorin Breaz

Publication date: 17 November 2015

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

Full work available at URL: https://arxiv.org/abs/1503.06668

zbMATH Keywords

companion matrixnil-clean

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Conditions on elements (16U99) Matrix completion problems (15A83)

Related Items (8)

Unnamed Item ⋮ Waring problem for matrices over finite fields ⋮ Nonderogatory matrices as sums of idempotent and nilpotent matrices ⋮ Sums of nilpotent matrices ⋮ On nil clean group rings ⋮ Endomorphisms of free modules as sums of four quadratic endomorphisms ⋮ \(n\)-torsion clean and almost \(n\)-torsion clean matrix rings ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Strong cleanness of the \(2\times 2\) matrix ring over a general local ring.
• Matrix completion problems
• Commutative weakly nil clean unital rings.
• Nil-clean matrix rings
• Nil clean rings.
• When is every matrix over a division ring a sum of an idempotent and a nilpotent?
• Semiclean rings and rings of continuous functions.
• Strongly clean matrix rings over commutative local rings.
• Weakly clean rings and almost clean rings
• When is the \(2\times 2\) matrix ring over a commutative local ring strongly clean?
• EXTENSIONS OF CLEAN RINGS
• Rings in which every element is either a sum or a difference of a nilpotent and an idempotent
• Lifting Idempotents and Exchange Rings
• Strongly clean rings and fitting's lemma
• Countable linear transformations are clean

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