Lyons, C. G.; Meldrum, J. D. P. Reduction theorems for endomorphism near-rings. (English) Zbl 0428.16037 Monatsh. Math. 89, 301-313 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 Review 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 Keywords:endomorphism near-ring; socle; minimal fully invariant subgroups; distributively generated near-ring; descending chain condition on right ideals PDFBibTeX XMLCite \textit{C. G. Lyons} and \textit{J. D. P. Meldrum}, Monatsh. Math. 89, 301--313 (1980; Zbl 0428.16037) Full Text: DOI EuDML 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.) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.