Abstract
In this paper we define and study some properties of the multivariate polynomial composition ring R[\( \bar x \)]. In particular, we explicitly describe the semigroup of left identities of the near-ring R[\( \bar x \)]. We also investigate the ideal structure and we give a complete description of all maximal ideals, for some special rings R.
Partially supported by Caja Cantabria and the Spanish grant PB97-0346.
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© 2001 Springer Science+Business Media Dordrecht
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Gutierrez, J., Ruiz de Velasco, C. (2001). Polynomial Near-Rings in Several Variables. In: Fong, Y., Maxson, C., Meldrum, J., Pilz, G., van der Walt, A., van Wyk, L. (eds) Near-Rings and Near-Fields. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0954-6_10
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DOI: https://doi.org/10.1007/978-94-010-0954-6_10
Publisher Name: Springer, Dordrecht
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