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Reduction theorems for endomorphism near-rings. (English) Zbl 0428.16037


MSC:

16Y30 Near-rings
16D70 Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras)
16S50 Endomorphism rings; matrix rings
16Dxx Modules, bimodules and ideals in associative algebras
20E28 Maximal subgroups
20E36 Automorphisms of infinite groups
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References:

[1] Betsch, G.: Some structure theorems on 2-primitive near-rings. In: Rings, Modules and Radicals. Colloquia Mathematica Societatis Janos Bolyai 6, pp. 73–102. Amsterdam-London: North-Holland. 1971.
[2] Fong, Y.: The endomorphism near-rings of the symmetric groups. Ph. D. Thesis. Edinburgh. 1979.
[3] Laxton, R.R.: Primitive distributively generated near-rings. Mathematika 8, 143–158 (1961). · Zbl 0118.02201 · doi:10.1112/S0025579300002266
[4] Lyons, C. G., andJ. D. P. Meldrum:N-series and tame near-rings. Proc. Royal Society Edinburgh Series A. (To appear.) · Zbl 0442.16032
[5] Malone, J. J. andC. G. Lyons: Endomorphism near-rings. Proc.EEdinburgh Math. Soc.17, 71–78 (1970). · Zbl 0203.33601 · doi:10.1017/S0013091500009214
[6] Meldrum, J. D. P.: On the structure of morphism near-rings. Proc. Royal Society Edinburgh 81 A, 287–298 (1978). · Zbl 0415.16026
[7] Meldrum, J. D. P.: The endomorphism near-ring of finite general linear groups. Proc. Royal Irish Academy 79 A, 87–96 (1979).
[8] Pilz, G.: Near-rings. Amsterdam-New York-Oxford: North-Holland. 1976. · Zbl 0225.16019
[9] Scott, S. D.: Near-rings and near-ring modules. Ph. D. Thesis. Australian National University. 1970.
[10] Scott, S. D.: Tame near-rings andN-groups. (Submitted.)
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