Rings whose additive endomorphisms are n-multiplicative, II

S. Feigelstock

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


A ring R is called an AE n -ring, n≥2 a positive integer, if every endomorphism φ{symbol} of additive group of R satisfies φ{symbol}(a 1 a 2... a n )=φ{symbol}(a 1)φ{symbol}(a 2)...φ{symbol}(a n ) for all a 1,..., a n εR. Several results concerning the structure of AE n -rings are obtained in this note, including an (incomplete) description of AE n -rings R satisfying R t R n-1 ≠0, where R t is the torsion ideal in R.

Original languageEnglish
Pages (from-to)21-26
Number of pages6
JournalPeriodica Mathematica Hungarica
Issue number1
StatePublished - Aug 1992


  • AE -rings
  • Mathematics subject classification numbers: 1991, Primary 20K99, 20K16
  • Rings
  • additive endomorphisms


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