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The J0-Radical of a Matrix Nearring can be Intermediate
Published online by Cambridge University Press: 20 November 2018
Abstract
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An example is constructed to show that the J0-radical of a matrix nearring can be an intermediate ideal. This solves a conjecture put forward in [1].
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- Copyright © Canadian Mathematical Society 1997
References
1.
Meldrum, J. D. P. and Meyer, J. H., Intermediate ideals in matrix near-rings, Comm. Alg. (5)24 (1996), 1601–1619.Google Scholar
2.
Meldrum, J. D. P. and Meyer, J. H., Modules over matrix near-rings and the J0-radical, Monatsh. Math. 112 (1991), 125–139.Google Scholar
3.
Meldrum, J. D. P. and van der Walt, A. P. J., Matrix near-rings, Arch.Math. 47 (1986), 312–319.Google Scholar
4.
Meyer, J. H., Chains of intermediate ideals in matrix near-rings, Arch.Math. 63 (1994), 311–315.Google Scholar
5.
Meyer, J. H., Left ideals and 0-primitivity in matrix near-rings, Proc. Edinburgh Math. Soc. 35 (1992), 173–187.Google Scholar
6.
van der Walt, A. P. J., On two-sided ideals in matrix near-rings, In: Near-rings and Near-fields, (ed. G. Betsch), North-Holland, 1987, 267–272.Google Scholar
7.
van der Walt, A. P. J., Primitivity in matrix near-rings, Quaestiones Math. 9 (1986), 459–469.Google Scholar
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