using fixed pointmethods, we investigate approximately higher ternary jordan derivations in banach ternaty algebras via the cauchy functional equation$$f(lambda_{1}x+lambda_{2}y+lambda_3z)=lambda_1f(x)+lambda_2f(y)+lambda_3f(z)~.$$

Within finite temperature field theory, we show that truncated non-perturbative self-consistent Dyson resummation schemes can be renormalized with local vacuum counterterms. For this the theory has to be renormalizable in the usual sense and the self-consistent scheme must follow Baym’s Φ-derivable concept. Our BPHZ-renormalization scheme leads to renormalized self-consistent equations of motio...

We prove that a GF(q)-linear Rédei blocking set of size qt + qt−1 + · · · + q + 1 of PG(2, qt ) defines a derivable partial spread of PG(2t − 1, q). Using such a relationship, we are able to prove that there are at least two inequivalent Rédei minimal blocking sets of size qt + qt−1 + · · · + q + 1 in PG(2, qt ), if t ≥ 4.