Hamiltonian selfdistributive quasigroups

Details Hamiltonian selfdistributive quasigroups Hamiltonian selfdistributive quasigroups

2004-03-10

arxiv.org/abs/math/0403181v1

Mathematics

Rings and Algebras

30 pages

Scientific paper

The problem of the existence of non-medial distributive hamiltonian quasigroups is solved. Translating this problem first to commutative Moufang loops with operators, then to ternary algebras and, finally, to cocyclic modules over\linebreak $\Bbb Z[x,x^{-1},(1-x)^{-1}]$, it is shown that every non-medial distributive hamiltonian quasigroup has at least 729 elements and that there are just two isomorphism classes of such quasigroups of the least cardinality. The quasigroups representing these two classes are anti-isomorphic.

Affiliated with

Also associated with

No associations

Rating

Hamiltonian selfdistributive quasigroups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hamiltonian selfdistributive quasigroups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hamiltonian selfdistributive quasigroups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-418700