Abstract
9.1. Definition. A partial injection ϕ: M →M is said to be a partial automorphism of a left odular space M = 〈M, L, (ωt)t∈ℝ〉 if ϕ L(x, a, y) = L(ϕx, ϕa, ϕy),ϕωt(x, y) = ωt (ϕx, ϕy) (whenever the left and right sides make sense). We say that ϕ is a local (global) automorphism of a Cr, k-smooth left odular space M if ϕ is a partial automorphism of M which is a local (global) Cr-diffeomorphism. the definition in the case of a left diodular space is analogous
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© 1999 Springer Science+Business Media Dordrecht
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Sabinin, L.V. (1999). Reductive Geoodular Spaces. In: Smooth Quasigroups and Loops. Mathematics and Its Applications, vol 492. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4491-9_10
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DOI: https://doi.org/10.1007/978-94-011-4491-9_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5921-3
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