Special clean elements in rings
From MaRDI portal
Publication:5133857
DOI10.1142/S0219498820502084zbMath1460.16043OpenAlexW2978259935WikidataQ114614536 ScholiaQ114614536MaRDI QIDQ5133857
Dinesh Khurana, Janez Šter, Pace P. Nielsen, Tsit-Yuen Lam
Publication date: 11 November 2020
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219498820502084
Conditions on elements (16U99) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Special matrices (15B99)
Related Items
Special clean elements, perspective elements and perspective rings, Suitable elements, -clean elements and Sylvester equations in rings with involution, Idempotent chains and bounded generation of \(\mathrm{SL}_2\), Rings with transitive chaining of idempotents, On cleanness of von Neumann algebras, Perspectivity and von Neumann regularity, Generalizing unit-regular rings and special clean elements, N-chained semigroups and -perspective modules and rings
Cites Work
- Inner inverses and inner annihilators in rings.
- Rings of idempotent stable range one.
- Pseudo Drazin inverses in associative rings and Banach algebras
- Bass's first stable range condition
- Regularity conditions for arbitrary Leavitt path algebras.
- On clean rings and clean elements.
- Right-left symmetry of \(aR\oplus bR=(a+b)R\) in regular rings
- Exercises in classical ring theory.
- Clean matrices and unit-regular matrices.
- Classes of almost clean rings.
- Exchange rings and decompositions of modules
- EXTENSIONS OF CLEAN RINGS
- A CHARACTERIZATION OF UNIT REGULAR RINGS
- On Clean Rings
- Exchange elements in rings, and the equation $XA-BX=I$
- THE LINK BETWEEN REGULARITY AND STRONG-PI-REGULARITY
- Pseudo-Inverses in Associative Rings and Semigroups
- UNIT-REGULARITY AND STABLE RANGE ONE
- On Strongly Clean Modules
- A Generalization of the Ring of Triangular Matrices
- Lifting Idempotents and Exchange Rings
- Strongly clean rings and fitting's lemma
- Exchange rings, units and idempotents
- On exchange rings
- Connections between unit-regularity, regularity, cleanness, and strong cleanness of elements and rings
- Separative exchange rings in which 2 is invertible
- Invertibility of the Difference of Idempotents
- On strongly pi-regular rings of stable range one
- Generalized inverses and their relations with clean decompositions
- Uniquely Clean Elements in Rings
- On internally cancellable rings
- On the Algebra of Networks
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
