Characterizations of Quasipolar Rings

DOI10.1080/00927872.2012.660670zbMath1283.16032OpenAlexW2053074361MaRDI QIDQ2848495

Jian Cui, Jian-Long Chen

Publication date: 26 September 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.660670

zbMATH Keywords

unitsidempotentsendomorphism ringsstrongly regular ringsstrongly clean ringsquasipolar elementsquasipolar ringsweak Fitting lemma

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Generalizations of commutativity (associative rings and algebras) (16U80) Units, groups of units (associative rings and algebras) (16U60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items

Generalized Drazin inverses in a ring ⋮ Properties of generalized strongly Drazin invertible elements in general rings ⋮ On feckly polar rings ⋮ ∗-Strongly regular rings ⋮ Extensions of quasipolar rings ⋮ PSEUDOPOLAR MATRIX RINGS OVER LOCAL RINGS ⋮ Quasinilpotents in rings and their applications ⋮ Jacobson pairs and Bott-Duffin decompositions in rings ⋮ EP elements and *-strongly regular rings ⋮ Almost polar elements in a ring

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?
• Quasipolar Triangular Matrix Rings Over Local 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
• RINGS IN WHICH ELEMENTS ARE UNIQUELY THE SUM OF AN IDEMPOTENT AND A UNIT

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