Polynomial Equation in Radicals | Zendy

Muhammad A. Khan | Zendy; Muhammad Aslam | Zendy

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Polynomial Equation in Radicals

Author(s) -

Muhammad A. Khan,

Muhammad Aslam

Publication year - 2008

Publication title -

kyungpook mathematical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.287

H-Index - 19

eISSN - 1225-6951

pISSN - 0454-8124

DOI - 10.5666/kmj.2008.48.4.545

Subject(s) - mathematics , matrix polynomial , polynomial , monic polynomial , minimal polynomial (linear algebra) , radical , polynomial ring , reciprocal polynomial , pure mathematics , polynomial matrix , discrete mathematics , mathematical analysis , chemistry , organic chemistry

Necessary and sucient 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.

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