On isomorphisms of chain geometries


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).

DOI Code: 10.1285/i15900932v7n2p251

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