Investigation of subalgebra lattices by means of Hasse constants
Petr Vojtěchovský
Abstract
Hasse constants and their basic properties are introduced to facilitate the connection between the lattice of subalgebras of an algebra C and the natural action of the automorphism group Aut(C) on C. These constants are then used to describe the lattice of subloops of the smallest nonassociative simple Moufang loop.
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