On Quasipolar Rings

DOI10.1142/S1005386712000557zbMath1280.16038MaRDI QIDQ2859255

Zhiling Ying, Jian-Long Chen

Publication date: 7 November 2013

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

zbMATH Keywords

strongly clean ringscommutative local ringsstrongly \(\pi\)-regular ringsupper triangular matrix ringsuniquely clean ringsquasipolar elementsquasipolar rings

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) Local rings and semilocal rings (13H99)

Related Items (16)

Quasipolar Triangular Matrix Rings Over Local Rings ⋮ Generalized Drazin inverses in a ring ⋮ On strongly \(J_n\)-clean rings ⋮ \(e\)-reversibility of rings via quasinilpotents ⋮ Strongly weakly nil-clean rings ⋮ On feckly polar rings ⋮ ∗-Strongly regular rings ⋮ Extensions of quasipolar rings ⋮ Rings whose every subring is feebly clean ⋮ An approach to quasipolarity for rings along nilpotent elements ⋮ PSEUDOPOLAR MATRIX RINGS OVER LOCAL RINGS ⋮ Nil-quasipolar rings. ⋮ Quasinilpotents in rings and their applications ⋮ EP elements and *-strongly regular rings ⋮ Almost polar elements in a ring ⋮ Quasipolar Property of Generalized Matrix Rings

Cites Work

• Group rings in which every element is uniquely the sum of a unit and an idempotent.
• Rings in which elements are uniquely the sum of an idempotent and a unit that commute.
• Strongly clean triangular matrix rings over local rings.
• COMMUTATIVE RINGS WHOSE ELEMENTS ARE A SUM OF A UNIT AND IDEMPOTENT
• On two open problems about strongly clean rings
• 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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