On Strongly Nil Clean Matrices

DOI10.1080/00927872.2011.637265zbMath1286.16025OpenAlexW2057266076MaRDI QIDQ2839094

Huanyin Chen

Publication date: 4 July 2013

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2011.637265

zbMATH Keywords

characteristic polynomialsprojective-free ringsstrongly nil clean elementsstrongly nil matrices

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Generalizations of commutativity (associative rings and algebras) (16U80) Units, groups of units (associative rings and algebras) (16U60)

Related Items (13)

Nil-clean matrix rings ⋮ An approach to quasipolarity for rings along nilpotent elements ⋮ Rings in which elements are the sum of a nilpotent and a root of a fixed polynomial that commute ⋮ Commutative weakly nil clean unital rings. ⋮ Nil-quasipolar rings. ⋮ Strongly unit nil-clean rings ⋮ A class of Drazin inverses in rings ⋮ Note on strongly nil clean elements in rings ⋮ Commutative rings whose proper homomorphic images are nil clean ⋮ On the matrix which is the sum of a tripotent and a quasinilpotent matrices ⋮ Strongly Drazin inverse in rings ⋮ A new class of nil-clean elements which are exchange ⋮ Commutative nil clean group rings

Cites Work

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• Strong cleanness of the \(2\times 2\) matrix ring over a general local ring.
• Some families of strongly clean rings.
• Strongly clean matrix rings over commutative local rings.
• Some remarks on projective-free rings.
• On StronglyJ-Clean Rings
• Strongly clean rings and fitting's lemma

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