Abstract
Brück [70] contains a theory of nilpotency of loops which embodies some of the basic features of nilpotency for groups. We shall sketch a less general approach which seems conceptually simpler. Let 𝕷 be any class of loops such that:
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(a)
Every subloop of a member of 𝕷 is in 𝕷.
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(b)
Every loop which is a homomorphic image of a member of 𝕷 is in 𝕷.
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© 1971 Springer-Verlag Berlin Heidelberg
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Bruck, R.H. (1971). Nilpotency of Loops. In: A Survey of Binary Systems. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol NF 20. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-43119-1_6
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DOI: https://doi.org/10.1007/978-3-662-43119-1_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-42837-5
Online ISBN: 978-3-662-43119-1
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