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The lattice of ideals of MR(R2)Ra commutative pir

Published online by Cambridge University Press:  09 April 2009

C. J. Maxson  and
L. Van Wyk
C. J. Maxson
Affiliation:
Texas A& M University College Station, TX 77843, U.S.A.
L. Van Wyk
Affiliation:
University of Stellenbosch7600 Stellenbosch, South Africa
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Abstract

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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 Jυ(N) and the quotient structures N/ Jv(N), v = 0, 1, 2.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 52 , Issue 3 , June 1992 , pp. 368 - 382
Copyright
Copyright © Australian Mathematical Society 1992

References

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