Investigation of subalgebra lattices by means of Hasse constants

Details Investigation of subalgebra lattices by means of Hasse constants Investigation of subalgebra lattices by means of Hasse constants

2007-01-24

arxiv.org/abs/math/0701704v1

Algebra Universalis 50 (2003), 7-26

Mathematics

Group Theory

20 pages

Scientific paper

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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