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 |
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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 journal › Article
}
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
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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 -