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摘要


It is conjectured that every ring with a finite maximal subring is finite. We prove this conjecture for PI-rings.

關鍵字

PI-ring maximal subring prime ring radical

被引用紀錄


Liu, K. S. (2006). 質環上之導算等式與代數自同構之常值 [doctoral dissertation, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2006.01161

延伸閱讀


  • VUKMAN, J., & ULBL, I. K. (2004). ON DEPENDENT ELEMENTS IN RINGS. International Journal of Mathematics and Mathematical Sciences, 2004(), 2895-2906-222. https://doi.org/10.1155/S0161171204311221
  • ARGAÇ, N. (1997). ON PRIME AND SEMIPRIME NEAR-RINGS WITH DERIVATIONS. International Journal of Mathematics and Mathematical Sciences, 1997(), 737-740. https://doi.org/10.1155/S0161171297001002
  • Fakhruddin, S. M. (1985). ON TOPOLOGIES OVER RINGS. International Journal of Mathematics and Mathematical Sciences, 1985(), 197-199. https://doi.org/10.1155/S0161171285000217
  • 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
  • Bell, H. E., & Yaqub, A. (2007). On Generalized Periodic-Like Rings. International Journal of Mathematics and Mathematical Sciences, 2007(), 291-295. https://doi.org/10.1155/2007/29513