A universal algebra approach to free projective planes.
A universal algebra approach to free projective planes. (Short Communication).
About projective planes over weakly distributive skew-fields and systems.
Achtdimensionale lokalkompakte Translationsebenen mit großen kompakten Kollineationsgruppen.
Adjacency preserving mappings.
Affine -structures
Affine line systems in finite-dimensional vector spaces.
Affine regular decagons in GS-quasigroup.
Affinspiegelungen in affinen Räumen einer beliebigen Dimension ... 2
Alcune condizioni per la costruzione di un piano finito di traslazione
The construction of any finite translation plane depends on the appropriate determination of a partition of a Galois field , together with a set of automorphisms of as a vector space. In this paper we obtain sufficient conditions on and , so that a translation plane is produced. They are also necessary conditions when . Particularly, we examine the case where is a two-dimensional vector space. We prove that no translation planes are constructible by a single automorphism, other than...
Alcuni risultati nello studio degli spazi affini generalizzati di Sperner
Algebraische Geometrien
Almost hermitian geometry on six dimensional nilmanifolds
An axiom system for full -dimensional Euclidean geometry
We present an axiom system for class of full Euclidean spaces (i.e. of projective closures of Euclidean spaces) and prove the representation theorem for our system, using connections between Euclidean spaces and elliptic planes.
An axiom system for incidence spatial geometry.
Incidence spatial geometry is based on three-sorted structures consisting of points, lines and planes together with three intersort binary relations between points and lines, lines and planes and points and planes. We introduce an equivalent one-sorted geometrical structure, called incidence spatial frame, which is suitable for modal considerations. We are going to prove completeness by SD-Theorem. Extensions to projective, affine and hyperbolic geometries are also considered.
An axiom system for the class of groups of dilatations in Fano-Pappian affine planes
Angeordnete affine Ebenen als Ebenen mit einem System von Halbgeraden, und euklidische Ebenen, die genau eine Anordnung besitzen.
Angeordnete affine lokale Ternärringe und angeordnete affine Klingenbergsche Ebenen
Anti-nets. I. (Basic notation and properties - closure conditions)
Anti-nets. II. (Collineations of anti-nets)