Half-isomorphisms of Moufang loops

Abstract

We prove that if the squaring map in the factor loop of a Moufang loop $Q$ over its nucleus is surjective, then every half-isomorphism of $Q$ onto a Moufang loop is either an isomorphism or an anti-isomorphism. This generalizes all earlier results in this vein.

8 pages; v.2: fixed typos

References in corpus (1)

• Half-isomorphisms of finite automorphic Moufang loops

Cited by in corpus (1)

• Half-isomorphisms whose inverses are also half-isomorphisms