A primitive ring which is a sum of two Wedderburn radical subrings

DOI10.1090/S0002-9939-97-04169-5zbMath0871.16004MaRDI QIDQ4339204

Andrei V. Kelarev

Publication date: 5 June 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

primitive ringslocally nilpotent ringsWedderburn radical rings

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (5)

Semiprimeness of semigroup algebras ⋮ On rings which are sums of subrings and additive subgroups ⋮ Semiprimitivity of Orthodox Semigroup Algebras ⋮ Rings which are sums of finite fields ⋮ Sums of simple subalgebras

Cites Work

• A sum of two locally nilpotent rings may be not nil
• Zur Nilpotenz gewisser assoziativer Ringe
• On rings which are sums of two subrings
• On rings that are sums of two subrings
• Rings that are sums of two locally nilpotent subrings
• Nil Rings Satisfying Certain Chain Conditions
• Unnamed Item

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