Zweidimensionale Quasialgebren mit Nullteilern

Continuous Solutions of Conditional Composite Type Functional Equations

“…Note also that, in view of (18) and (22) (23) we derive that there exist an α ∈ R\{0} and an r ∈ R\{0} such thatf (z) = αz r for z ∈ − x0 1−k , ∞ . Hence…”

“…Some applications of (1) and its further generalizations can be found e.g. in [2,4,7,14,20] and [23]. For more details concerning Eq.…”

The Gołab–Schinzel equation and its generalizations

“…with some c ∈ R. Next, from a result of P. Plaumann and S. Strambach ( [71]) we obtain that for every continuous solution g : C → C of (GS) there are c ∈ C, a continuous solution f : R → R of (GS) and an R-linear function L :…”

“…[3], p. 311-315): subsemigroups of the semigroup of the affine mappings of R (t → αt + β); -P. Plaumann and S. Strambach ( [71]): classification of quasialgebras;…”

4-dimensional compact projective planes with a 7-dimensional collineation group

“…isomorphic to the plane over C. For dim Z = 8, the plane is isomorphic or dual to a translation plane [30]. This result initiated the study of 4-dimensional translation planes [1], [25], and all such planes with dim Z = 8 and also with dim E = 7 could be classified, see [5] and papers cited there. A topological projective plane is called flexible if the collineation group has an open orbit in the space of flags (flag = incident point-line pair).…”