Trace-like functions on rings with no nilpotent elements

M. Cohen, Susan Montgomery

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


Let R be a ring with no nilpotent elements, with extended center C, and let E be the set of idempotents in C. Our first main result is that for any finite group G acting as automorphisms of R, there exist a finite set L C E and an /?c-bimodule homomorphism t: R -> (RL)G such that t(R) is an essential ideal of (RE)G. This theorem is applied to show the following: if R is a Noetherian, affine PI-algebra (with no nilpotent elements) over the commutative Noetherian ring A, and G is a finite group of A-automorphisms of R such that RG is Noetherian, then RG is affine over A.

Original languageEnglish
Pages (from-to)131-145
Number of pages15
JournalTransactions of the American Mathematical Society
Issue number1
StatePublished - 1 Jan 1982

ASJC Scopus subject areas

  • Mathematics (all)
  • Applied Mathematics


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