Semi-Nearrings of Bivariate Polynomials over a Field

Kent M. Neuerburg ()
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Kent M. Neuerburg: Southeastern Louisiana University, Mathematics Department

A chapter in Nearrings and Nearfields, 2005, pp 253-262 from Springer

Abstract: 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.

Keywords: seminearring; composed products (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4020-3391-9_13

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DOI: 10.1007/1-4020-3391-5_13

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