Unit-regularity of regular nilpotent elements
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Publication:295901
DOI10.1007/s10468-015-9592-1zbMath1354.16010arXiv1509.07944OpenAlexW2963883472MaRDI QIDQ295901
Publication date: 14 June 2016
Published in: Algebras and Representation Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.07944
regular elementsnilpotent elementsstable range onestrongly \(\pi\)-regular elementsunit-regular elements
Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Conditions on elements (16U99) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Stable range conditions (19B10)
Related Items
Connections between unit-regularity, regularity, cleanness, and strong cleanness of elements and rings, A symmetric generalization of \(\pi\)-regular rings, A Jordan canonical form for nilpotent elements in an arbitrary ring
Cites Work
- Stable range one for rings with many units
- Refinements for infinite direct decompositions of algebraic systems
- The Nilpotent Regular Element Problem
- On Uniform Diagonalisation of Matrices over Regular Rings and One-Accessible Regular Algebras
- Strongly 𝜋-regular rings have stable range one
- Lifting Idempotents and Exchange Rings
- Strongly clean rings and fitting's lemma
- Connections between unit-regularity, regularity, cleanness, and strong cleanness of elements and rings
