Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Polynomial Equation in Radicals

  • Khan, Muhammad Ali (Preparatory Year Mathematics Program, King Fahd University of Petroleum and Minerals) ;
  • Aslam, Muhammad (Department of Mathematics, G.C. University)
  • Received : 2005.05.17
  • Published : 2008.12.31
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Abstract

Necessary and sufficient conditions for a radical class of rings to satisfy the polynomial equation $\rho$(R[x]) = ($\rho$(R))[x] have been investigated. The interrelationsh of polynomial equation, Amitsur property and polynomial extensibility is given. It has been shown that complete analogy of R.E. Propes result for radicals of matrix rings is not possible for polynomial rings.

Keywords

References

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Cited by

  1. ON α-LIKE RADICALS 2011, https://doi.org/10.1017/S0004972711002231
  2. ON -LIKE RADICALS OF RINGS vol.88, pp.02, 2013, https://doi.org/10.1017/S0004972712000895