Nilpotency of Loops
Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE1, volume NF 20)
Brück  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:
Every subloop of a member of 𝕷 is in 𝕷.
Every loop which is a homomorphic image of a member of 𝕷 is in 𝕷.
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© Springer-Verlag Berlin Heidelberg 1971