Trace-Like Functions on Rings with no Nilpotent Elements

DOI10.2307/1999196zbMath0512.16025OpenAlexW4231586601MaRDI QIDQ4750823

Miriam Cohen, Susan Montgomery

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/1999196

zbMATH Keywords

idempotentsessential idealtrace mapsemiprime ringfinite group of automorphismsextended centerpartial trace functiontrace-like functions

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20)

Related Items

Unnamed Item, Integrality for PI-rings

Cites Work

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• Automorphism groups of rings with no nilpotent elements
• Trace functions for finite automorphism groups of rings
• Nonexistence of partial traces for group actions
• A Morita context related to finite automorphism groups of rings
• Galois extensions and quotient rings
• Noetherian fixed rings
• Non-commutative affine P. I. rings are catenary
• Prime rings satisfying a generalized polynomial identity
• Fixed Rings of Noetherian Rings
• Prime 𝑃𝐼-rings
• Outer Automorphisms of Semi-Prime Rings
• Rings with Fixed-Point-Free Group Actions