Rings with finitely many nilpotent elements

DOI10.1080/00927879408824851zbMath0806.16017OpenAlexW1972606839MaRDI QIDQ4282894

Howard E. Bell, Abraham A. Klein

Publication date: 13 February 1995

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

Full work available at URL: https://doi.org/10.1080/00927879408824851

zbMATH Keywords

periodic ringsfiniteness theoremfinite ringdirect sumprime radicalreduced ringFZS-ringsfinitely many nilpotent elementsinfinite zero subringperiodic FN-rings

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) 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)

Related Items (3)

Semiprime Algebras with Finiteness Conditions ⋮ On rings with finitely many regular elements ⋮ Rings virtually satisfying a polynomial identity.

Cites Work

• On Commutative Subrings of Infinite Rings

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