Glasnik Matematicki, Vol. 43, No.1 (2008), 7-12.

ON DECOMPOSITION OF POLYNOMIALS OVER RINGS

Ivica Gusić

Faculty of Chemical Engin. and Techn., University of Zagreb, Marulićev trg 19, 10000 Zagreb, Croatia
e-mail: igusic@fkit.hr

Abstract.   We discuss the behavior of decomposability of polynomials under ring extension. Also, we state two open problems.

2000 Mathematics Subject Classification.   13B25, 11C08, 13B22, 13F15.

Key words and phrases.   Composition of polynomials, Galois group, discrete valuation.

Full text (PDF) (free access)

DOI: 10.3336/gm.43.1.02

References:

  1. A. Dujella and I. Gusic, Indecomposability of polynomials and related diophantine equations, Quart. J. Math. Oxford 498 (2005), 173-199.
    MathSciNet     CrossRef

  2. A. Horwitz, Composition of polynomials with coefficients in a given field, J. Math. Anal. Appl. 267 (2002), 489-500.
    MathSciNet     CrossRef

  3. S. Lang, Algebra, Addison-Wesley 1993.
    MathSciNet

  4. A. Schinzel, Polynomials with special regard to reducibility, Cambridge University Press, 2000.
    MathSciNet
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