A Class of Quasipolar Rings

DOI10.1080/00927872.2011.610854zbMath1267.16035OpenAlexW2117959958MaRDI QIDQ4908956

Jian Cui, Jian-Long Chen

Publication date: 8 March 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.610854

zbMATH Keywords

idempotentsJacobson radicaltriangular matrix ringscommutative local ringsuniquely clean ringsquasipolar rings\(J\)-quasipolar rings

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) Jacobson radical, quasimultiplication (16N20) Local rings and semilocal rings (13H99)

Related Items (7)

Unnamed Item ⋮ P-Hirano inverses in rings ⋮ Reversibility of rings with respect to the Jacobson radical ⋮ Properties of generalized strongly Drazin invertible elements in general rings ⋮ Rings in which every left zero-divisor is also a right zero-divisor and conversely ⋮ An approach to quasipolarity for rings along nilpotent elements ⋮ On the matrix which is the sum of a tripotent and a quasinilpotent matrices

Cites Work

• Unnamed Item
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• Quasipolar Triangular Matrix Rings Over Local Rings
• When is a 2 × 2 Matrix Ring Over a Commutative Local Ring Quasipolar?
• A CLASS OF EXCHANGE RINGS
• Strongly 𝜋-regular rings have stable range one
• Strongly clean rings and fitting's lemma
• Elements of rings with equal spectral idempotents
• RINGS IN WHICH ELEMENTS ARE UNIQUELY THE SUM OF AN IDEMPOTENT AND A UNIT

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