Algebraic and geometric automorphisms of hypergroupoids

Abstract

Two concepts of automorphism of a hypergroupoid are introduced; the first one preserve the algebraic structure of a hypergroupoid, the second one preserve the geometric structure that one can associate naturally to a hypergroupoid. The groups of such automorphisms are studied, in particular in the case that the geometric space associated to a hypergroupoid is a Steiner system.

Keywords

• Geometric automorphisms
• Algebraic automorphisms
• Steiner hypergroupoid
• Quasi-Steiner hypergroupoid