### Abstract

A polynomial near-ring can mean one of several things. Here a polynomial near-ring is a near-ring of polynomials with the coefficients from a near-ring in the sense of van der Walt and Bagley. We describe quotients of such polynomial near-rings by principal ideals leading to generalizations of some well-known ring constructions.

Original language | English |
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Pages (from-to) | 119-142 |

Number of pages | 24 |

Journal | Beitrage zur Algebra und Geometrie |

Volume | 50 |

Issue number | 1 |

Publication status | Published - 2009 |

### Keywords

- Near-ring
- Polynomial near-ring
- Polynomial near-ring quotients

### ASJC Scopus subject areas

- Algebra and Number Theory
- Geometry and Topology

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## Cite this

Veldsman, S. (2009). Homomorphic images of polynomial near-rings.

*Beitrage zur Algebra und Geometrie*,*50*(1), 119-142.