Identitäten und das Radikal in Jordan-Tripelsystemen.
Inference for random effects in prime basis factorials using commutative Jordan algebras
Commutative Jordan algebras are used to drive an highly tractable framework for balanced factorial designs with a prime number p of levels for their factors. Both fixed effects and random effects models are treated. Sufficient complete statistics are obtained and used to derive UMVUE for the relevant parameters. Confidence regions are obtained and it is shown how to use duality for hypothesis testing.
Irreducible binary -bimodules over simple finite-dimensional algebras.
Isometries of JB-algebras.
Isomorphisms of Jordan-Banach algebras.