A theorem on invariant subrings

DOI10.1016/0021-8693(83)90134-5zbMath0514.16001OpenAlexW1964695209MaRDI QIDQ1051067

I. N. Herstein

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90134-5

zbMATH Keywords

centerinvariant subringsextended centroidcentral closure of prime ring

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Conditions on elements (16U99)

Related Items

On invariant additive subgroups, Invariant additive subgroups of a certain kind, The algebraic hypercenter and some applications, Invariant additive subgroups in prime rings, Prime rings with hypercommuting derivations on a Lie ideal, Associative rings, On fusible rings, Derivations and multilinear polynomials, The algebraic hypercenter of an algebra over a commutative ring, On prime rings with commuting nilpotent elements, Some results on annihilation in algebras

Cites Work

• The algebraic hypercenter and some applications
• Lie Simplicity of a Special Class of Associative Rings
• Invariant Submodules of Simple Rings
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