Strongly clean rings and fitting's lemma
DOI10.1080/00927879908826649zbMath0946.16007OpenAlexW2095197235MaRDI QIDQ4261224
Publication date: 31 July 2000
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927879908826649
unitsidempotentsendomorphism ringsautomorphismsnilpotent endomorphismsFitting's lemmastrongly clean ringsstrongly \(\pi\)-regular rings
Endomorphism rings; matrix rings (16S50) Automorphisms and endomorphisms (16W20) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Units, groups of units (associative rings and algebras) (16U60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)
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Cites Work
- Perspectivity and cancellation in regular rings
- Free and residually artinian regular rings
- Exchange rings and decompositions of modules
- On strongly πregular rings and homomorphisms into them
- Strongly 𝜋-regular rings have stable range one
- On injective and surjective endomorphisms of finitely generated modules
- Exchange rings, units and idempotents
- On exchange rings
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