Beitr\ EMIS ELibM Electronic Journals Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 50, No. 1, pp. 119-142 (2009)

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Homomorphic images of polynomial near-rings

Stefan Veldsman

Department Mathematics, Sultan Qaboos University, Sultanate of Oman, e-mail: veldsman@squ.edu.om

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

Classification (MSC2000): 16Y30

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