Abstract
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 language | English |
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Pages (from-to) | 345-349 |
Number of pages | 5 |
Journal | Israel Journal of Mathematics |
Volume | 55 |
Issue number | 3 |
DOIs | |
State | Published - Oct 1986 |
ASJC Scopus subject areas
- General Mathematics