On P.I. ring and standard identities

Research output: Contribution to journalArticlepeer-review


An example is given of a ring R (with 1) satisfying the standard identity S 6[x 1, ..., x 6] but M 2(R), the 2 × 2 matrix ring over R, does not satisfy S 12[x 1, ..., x 12]. This is in contrast to the case R=M n (F), F a field, where by the Amitsur-Levitzki theorem R satisfies S 2n [x 1, ..., x 2n] and M 2(R) satisfies S 4 n [x 1, ..., x n].

Original languageEnglish
Pages (from-to)345-349
Number of pages5
JournalIsrael Journal of Mathematics
Issue number3
StatePublished - Oct 1986

ASJC Scopus subject areas

  • General Mathematics


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