Higher commutators, ideals and cardinality

DOI10.1017/S0004972700015069zbMath0885.16013OpenAlexW2074087723MaRDI QIDQ4346958

Charles Lanski

Publication date: 22 February 1998

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700015069

zbMATH Keywords

semiprime ringsindex of centerhigher commutatorscardinality of commutatorscentral ideals of finite index

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Ideals in associative algebras (16D25) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Related Items (4)

FINITE HIGHER COMMUTATORS IN ASSOCIATIVE RINGS ⋮ Noncommutative higher commutators ⋮ On higher commutators of rings ⋮ Characterization of higher commutators

Cites Work

• Subrings of finite index in finitely generated rings
• On 'Properties of rings with a finite number of zero divisors'
• Lie structure of prime rings of characteristic 2
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