- 期刊
A RESULT OF COMMUTATIVITY OF RINGS
摘要
In this paper we prove the following: THEOREM. Let n ＞1 and m be fixed relatively prime positive integers and k is any non-negative integer. If R is a ring with unity satisfying x^k[x^n,y] =[x,y^m] for all x, y ∈ R then R is commutative.
延伸閱讀
- ABUJABAL, H., & KHAN, M. (1990). AN ITERATION TECHNIQUE AND COMMUTATIVITY OF RINGS. International Journal of Mathematics and Mathematical Sciences, 1990(), 315-319. https://doi.org/10.1155/S0161171290000461
- 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
- Eljeri, M. (2013). The EA-Dimension of a Commutative Ring. ISRN Algebra, (), c1-6. https://doi.org/10.1155/2013/293207
- DAIF, M. N. (1998). COMMUTATIVITY RESULTS FOR SEMIPRIME RINGS WITH DERIVATIONS. International Journal of Mathematics and Mathematical Sciences, 1998(), 471-474. https://doi.org/10.1155/S0161171298000660
- Putcha, M. S., & Yaqub, A. (1979). RINGS WITH A FINITE SET OF NONNILPOTENTS. International Journal of Mathematics and Mathematical Sciences, 1979(), 121-126. https://doi.org/10.1155/S0161171279000120