Semiprime Goldie centralizers

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12 Scopus citations


Let G be a finite group of automorphisms acting on a ring R, and R G={fixed points of G}. We show that under certain conditions on R and G, when R Gis semiprime Goldie then so is R. In particular, if a∈R is invertible and a n∈Z(R), then R G,with G generated by the inner automorphism determined by a, is the centralizer of a-C R(a). The above result with R Greplaced by C R(a) is shown without the assumption that a is invertible.

Original languageEnglish
Pages (from-to)37-45
Number of pages9
JournalIsrael Journal of Mathematics
Issue number1
StatePublished - 1 Jan 1975
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics (all)


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