### 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 |
---|---|

Pages (from-to) | 119-142 |

Number of pages | 24 |

Journal | Beitrage zur Algebra und Geometrie |

Volume | 50 |

Issue number | 1 |

Publication status | Published - 2009 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Algebra and Number Theory
- Geometry and Topology

### Cite this

*Beitrage zur Algebra und Geometrie*,

*50*(1), 119-142.

**Homomorphic images of polynomial near-rings.** / Veldsman, Stefan.

Research output: Contribution to journal › Article

*Beitrage zur Algebra und Geometrie*, vol. 50, no. 1, pp. 119-142.

}

TY - JOUR

T1 - Homomorphic images of polynomial near-rings

AU - Veldsman, Stefan

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

KW - Near-ring

KW - Polynomial near-ring

KW - Polynomial near-ring quotients

UR - http://www.scopus.com/inward/record.url?scp=66749102834&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=66749102834&partnerID=8YFLogxK

M3 - Article

VL - 50

SP - 119

EP - 142

JO - Beitrage zur Algebra und Geometrie

JF - Beitrage zur Algebra und Geometrie

SN - 0138-4821

IS - 1

ER -