On isomorphisms of chain geometries

Abstract

Isomorphisms (automorphisms) of chain geometries over a ring L were studied mainly for a skewfield [2], [3], [8] alternating field [9], a commutative algebra (see the survey in [4]) a local ring [7] or an algebra of characteristic $≠ 2$, [1]-in most cases by means of harmonic quadruples, cross rations- or (in the last example) generalized harmonic quadruples. Here instead of this are studied isomorphisms of chain geometries over any K-algebra A of finite dimension with $|K|>3$ (local algebra of finite dimension with $|K|≥ 3$).