Polynomial Equation in Radicals
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Necessary and sufficient conditions for a radical class of rings to satisfy the polynomial equation (R[x]) = ((R))[x] have been investigated. The interrelationship 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.
Abstract
Necessary and sufficient conditions for a radical class of rings to satisfy the polynomial equation (R[x]) = ((R))[x] have been investigated. The interrelationship 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.
참고문헌 (15)
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