Quasipolar Triangular Matrix Rings Over Local Rings

DOI10.1080/00927872.2010.538457zbMath1248.16026OpenAlexW2025174165MaRDI QIDQ2880436

Jian Cui, Jian-Long Chen

Publication date: 13 April 2012

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

Full work available at URL: https://doi.org/10.1080/00927872.2010.538457

zbMATH Keywords

local ringstriangular matrix ringsquasipolar ringsquasipolar matrices

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Endomorphism rings; matrix rings (16S50) Generalizations of commutativity (associative rings and algebras) (16U80) Noncommutative local and semilocal rings, perfect rings (16L30)

Related Items (5)

Common properties of \(a\) and \(b\) satisfying \(ab^n = b^{n+1}\) and \(ba^n = a^{n+1}\) in Banach algebras ⋮ Pseudo Drazin inverses in associative rings and Banach algebras ⋮ An approach to quasipolarity for rings along nilpotent elements ⋮ A Class of Quasipolar Rings ⋮ Characterizations of Quasipolar Rings

Cites Work

• Strong cleanness of the \(2\times 2\) matrix ring over a general local ring.
• Strongly clean matrix rings over local rings.
• Strongly clean triangular matrix rings over local rings.
• Strongly clean matrix rings over commutative local rings.
• When is the \(2\times 2\) matrix ring over a commutative local ring strongly clean?
• On Quasipolar Rings
• When is a 2 × 2 Matrix Ring Over a Commutative Local Ring Quasipolar?
• On two open problems about strongly clean rings
• On Strongly Clean Matrix and Triangular Matrix Rings
• Strongly clean rings and fitting's lemma
• Elements of rings with equal spectral idempotents

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