Duplication d’algèbres IV

This paper is a posthume continuation of the papers by Professor A.H. Boers about duplication of algebras, as drafted by Artibano Micali and Moussa Ouattara in collaboration with Nakelgbamba Boukary Pilabré. The aim of the paper is essentially to study the non commutative duplication of algebras. Conditions are studied in which the duplicate algebra is flexible, Lie admissible or nn-associative. Connections between the dimensions of commutative and non commutative duplication of algebras are compared.In the list of references in this paper, several items have been given, which are directly connected to the subject of study. Moreover, for the interest of the reader, a (possible) complete list of publications of A.H. Boers is added to the references, i.e. known up to and including 1995 as well as a note explicative.