Rings of bounded index

DOI10.1080/00927878408822986zbMath0535.16006OpenAlexW2060661936MaRDI QIDQ3318909

Abraham A. Klein

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1080/00927878408822986

zbMATH Keywords

ring of polynomialsbounded index of nilpotencyPI ringnil-ring

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Rings with polynomial identity (16Rxx)

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Rings Whose Nilpotent Elements form a Levitzki Radical Ring, Unnamed Item, Structure and topological conditions of NI rings., Weakly regular rings with ACC on annihilators and maximality of strongly prime ideals of weakly regular rings., Bootstrapping the bounded nilradical., Structure of annihilators of powers, On \(\sigma\)-nil ideals of bounded index of \(\sigma\)-nilpotence., Indices of nillity and absolute nillity of matrix rings, Banach algebras of topologically bounded index, ON WEAK ZIP SKEW POLYNOMIAL RINGS, Rings whose nilpotents form a multiplicative set, Nilpotent ideals in polynomial and power series rings, The index of nillity of the tensor product of a nil ring of bounded index by a matrix ring, An Ascending Chain Condition on Wedderburn Radicals, Arnold's Theorem on the Strongly Finite Type (SFT) Property and the Dimension of Power Series Rings, Derivations and bounded nilpotence index

Cites Work

• Quotient rings of semiprime rings with bounded index