- 期刊
ON COMMUTATIVITY THEOREMS FOR RINGS
摘要
Let R be an associative ring with unity. It is proved that if R satisfies the polynomial identity [x^n y - y^mx^n, x] = 0 (m ＞ 1, n ≥ 1), then R is commutative. Two or more related results are also obtained.
延伸閱讀
- KLEIN, A. A., & BELL, H. E. (2004). A COMMUTATIVITY-OR-FINITENESS CONDITION FOR RINGS. International Journal of Mathematics and Mathematical Sciences, 2004(), 2863-2865-220. https://doi.org/10.1155/S0161171204405420
- FILIPPIS, V. D. (2004). ON DERIVATIONS AND COMMUTATIVITY IN PRIME RINGS. International Journal of Mathematics and Mathematical Sciences, 2004(), 3859-3865-299. https://doi.org/10.1155/S0161171204403536
- Psomopoulos, E. (1984). COMMUTATIVITY THEOREMS FOR RINGS AND GROUPS WITH CONSTRAINTS ON COMMUTATORS. International Journal of Mathematics and Mathematical Sciences, 1984(), 513-517. https://doi.org/10.1155/S0161171284000569
- GUPTA, V. (1994). A RESULT OF COMMUTATIVITY OF RINGS. International Journal of Mathematics and Mathematical Sciences, 1994(), 65-72. https://doi.org/10.1155/S0161171294000104
- GUPTA, V. (1997). TWO ELEMENTARY COMMUTATIVITY THEOREMS FOR GENERALIZED BOOLEAN RINGS. International Journal of Mathematics and Mathematical Sciences, 1997(), 409-411. https://doi.org/10.1155/S0161171297000549