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Semi-Nearrings of Bivariate Polynomials over a Field

In: Nearrings and Nearfields

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  • Kent M. Neuerburg

    (Southeastern Louisiana University, Mathematics Department)

Abstract

The idea of the composed product of univariate polynomials may be generalized to bivariate polynomials. Using these root-based compositions, we define operations on bivariate polynomials analogous to addition and composition of univariate polynomials. We investigate the seminearring of bivariate polynomials determined by these operations looking at its properties and internal algebraic structures.

Suggested Citation

  • Kent M. Neuerburg, 2005. "Semi-Nearrings of Bivariate Polynomials over a Field," Springer Books, in: Hubert Kiechle & Alexander Kreuzer & Momme Johs Thomsen (ed.), Nearrings and Nearfields, pages 253-262, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4020-3391-9_13
    DOI: 10.1007/1-4020-3391-5_13
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