On rings which are sums of two subrings

DOI10.1007/BF01194866zbMath0645.16005OpenAlexW2000082237MaRDI QIDQ1103030

Miguel Ferrero, Edmund R. Puczylowski

Publication date: 1989

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01194866

zbMATH Keywords

Jacobson radicalprime radicalnil radicallocally nilpotentKoethe conjecturenilpotent subringsright T-nilpotentsums of two subrings

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Radicals and radical properties of associative rings (16Nxx)

Related Items

Generalized polynomial identities and rings which are sums of two subrings, On radicals of rings which are sums of two subrings, Nil properties for rings which are sums of their additive subgroups, On rings which are sums of subrings and additive subgroups, A primitive ring which is a sum of two Wedderburn radical subrings, Rings which are sums of PI subrings, Self-injective von Neumann regular rings and Köthe's conjecture, Unital decompositions of the matrix algebra of order three, Rings that are sums of two locally nilpotent subrings, II, A sum of two locally nilpotent rings may be not nil, Note on rings which are sums of a subring and an additive subgroup, Rings that are sums of two locally nilpotent subrings, Rings which are sums of finite fields, Rings which are sums of two subrings

Cites Work

• Zur Nilpotenz gewisser assoziativer Ringe
• Radicals and Morita contexts
• Some aspects of T-nilpotence
• The strongly prime radical of crossed products
• Radicals of polynomial rings, power series rings and tensor products
• On Relations among radical properties
• Logical connections between some open problems concerning nil rings