The aim of this paper is to classify all monogenic ternary semigroups, up to isomorphism. We divide them to two groups: finite and infinite. We show that every infinite monogenic ternary semigroup is isomorphic to the ternary semigroup O, the odd positive integers with ordinary addition. Then we prove that all finite monogenic ternary semigroups with the same index...

Preimplantation genetic diagnosis (PGD) is an alternative to prenatal diagnosis allowing the detection of genetic diseases on IVF embryos before their transfer into the uterus and before the pregnancy. The aim of this procedure is to obtain unaffected or carrier embryos in order to avoid the burden of termination of pregnancy after prenatal diagnosis for couples at risk of transmitting particul...

One of the important purposes of genome research is to elucidate the nature of genes responsible for monogenic as well as multigenic diseases. In order to better understand correlation between disease and genetic diversity, we developed an integrated database system MutationView, which at present mainly deals with monogenic diseases (http://mutview.dmb.med.keio.ac.jp). MutationView is the syste...