Abstract
This paper is concerned with the relationship between semigroups of endomorphisms of a group and the structures they generate on the one hand and the group itself on the other. As such it considers what have come to be known as endomorphism near-rings. The main link which is established is between the (group) nilpotence of the group and the (near-ring) nilpotence of an ideal of the inner automorphism near-ring which strongly resembles the augmentation ideal.
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References
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© 1997 Kluwer Academic Publishers
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Meldrum, J.D.P. (1997). Nilpotence and Endomorphism Near-Rings. In: Saad, G., Thomsen, M.J. (eds) Nearrings, Nearfields and K-Loops. Mathematics and Its Applications, vol 426. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1481-0_27
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DOI: https://doi.org/10.1007/978-94-009-1481-0_27
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7163-5
Online ISBN: 978-94-009-1481-0
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