J Austral Math Soc Ser A 52 pp368--382, 1992.

The Lattice of Ideals of MR(R2), A Commutative Pir

C. J. Maxson and L. van Wyk

(Received 20 June 1990; revised 20 November 1990)

Abstract

In this paper we characterize the ideals of the centralizer near-ring N = MR(R2), where R is a commutative principle ideal ring. The characterization is used to determine the radicals Jv(N) and the quotient structures N/Jv(N), v = 0, 1, 2.

1991 AMS Subject Classification: 16A76

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Authors

C. J. Maxson
Texas A& M University, College Station, TX 77843, U.S.A.
L. van Wyk
University of Stellenbosch, 7600 Stellenbosch, South Africa.

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