GENERALIZATIONS OF FITTING'S LEMMA IN ARBITRARY ASSOCIATIVE RINGS

DOI10.1081/AGB-100105047zbMath1008.16021OpenAlexW2081449804MaRDI QIDQ2746641

Michael P. Drazin

Publication date: 9 April 2003

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

Full work available at URL: https://doi.org/10.1081/agb-100105047

zbMATH Keywords

nilpotent elementsFitting's lemmapseudo-inversesquasi-inversesorthogonal summandscore-nilpotent decompositionscore-quasi-nilpotent decompositionspseudo-invertible elements

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Units, groups of units (associative rings and algebras) (16U60)

Related Items (5)

On a result of J.J. Sylvester ⋮ A class of outer generalized inverses ⋮ Generalized inverses of elements and their polarities in rings ⋮ A General Approach to the Fitting Lemma ⋮ On a question of Drazin

Cites Work

• A partial order in completely regular semigroups
• Extremal definitions of generalized inverses
• Pseudo-Inverses in Associative Rings and Semigroups
• On injective and surjective endomorphisms of finitely generated modules
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