Unitary strongly prime rings and related radicals.

DOI10.1016/S0022-4049(02)00311-0zbMath1036.16021OpenAlexW2095009052MaRDI QIDQ1812021

Miguel Ferrero, Robert Wisbauer

Publication date: 18 June 2003

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(02)00311-0

zbMATH Keywords

Brown-McCoy radicalupper radicalsspecial classesright insulatorshereditary radicalsright strongly prime rings\(R\)-disjoint idealscentral closures of semiprime ringscentred monomorphismsextended centroids of semiprime ringspseudo-radicalsright strongly prime radicalssymmetric strongly prime ringsunitary strongly prime radicalunitary strongly prime rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Prime and semiprime associative rings (16N60) Ideals in associative algebras (16D25) General radicals and associative rings (16N80)

Related Items (15)

On Radicals with Amitsur Property ⋮ Partial Skew Polynomial Rings: Prime and Maximal Ideals ⋮ A linear algebra approach to Koethe's problem and related questions ⋮ On prime rings whose central closure is finitely generated ⋮ On prime ideals and radicals of polynomial rings and graded rings. ⋮ On nil algebras and a problem of Passman concerning nilpotent free algebras ⋮ RADICALS WITH THE α-AMITSUR PROPERTY ⋮ On polynomial rings over nil rings in several variables and the central closure of prime nil rings ⋮ On a problem by Beidar concerning the central closure. ⋮ On the Behrens radical of matrix rings and polynomial rings. ⋮ NONCOMMUTATIVE HILBERT RINGS ⋮ Multiplicative sets, left strongly prime ideals, and left strongly prime radicals in rings. ⋮ Ideal intrinsic extensions with connections to PI-rings. ⋮ ON SUPERNILPOTENT RADICALS WITH THE AMITSUR PROPERTY ⋮ Chains of prime ideals and primitivity of \(\mathbb Z\)-graded algebras.

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