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-ringsStefan VeldsmanDepartment Mathematics, Sultan Qaboos University, Sultanate of Oman, e-mail: veldsman@squ.edu.omAbstract: 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 Full text of the article:
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