Homomorphic images of polynomial near-rings

Stefan Veldsman

Research output: Contribution to journalArticle

2 Citations (Scopus)

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 languageEnglish
Pages (from-to)119-142
Number of pages24
JournalBeitrage zur Algebra und Geometrie
Volume50
Issue number1
Publication statusPublished - 2009

Fingerprint

Near-ring
Homomorphic
Polynomial
Thing
Quotient
Ring
Coefficient

Keywords

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

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

Cite this

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

In: Beitrage zur Algebra und Geometrie, Vol. 50, No. 1, 2009, p. 119-142.

Research output: Contribution to journalArticle

Veldsman, S 2009, 'Homomorphic images of polynomial near-rings', Beitrage zur Algebra und Geometrie, vol. 50, no. 1, pp. 119-142.
Veldsman, Stefan. / Homomorphic images of polynomial near-rings. In: Beitrage zur Algebra und Geometrie. 2009 ; Vol. 50, No. 1. pp. 119-142.
@article{7bda87355ebe4dd9a87c7bbc4acfee63,
title = "Homomorphic images of polynomial near-rings",
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.",
keywords = "Near-ring, Polynomial near-ring, Polynomial near-ring quotients",
author = "Stefan Veldsman",
year = "2009",
language = "English",
volume = "50",
pages = "119--142",
journal = "Beitrage zur Algebra und Geometrie",
issn = "0138-4821",
publisher = "Springer Berlin",
number = "1",

}

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

AN - SCOPUS:66749102834

VL - 50

SP - 119

EP - 142

JO - Beitrage zur Algebra und Geometrie

JF - Beitrage zur Algebra und Geometrie

SN - 0138-4821

IS - 1

ER -