The Third International Conference on Non-associative Algebra and its Applications was held in Oviedo (Spain) from July 12th to July 17th, 1993. The two previous Conferences were held in Novosibirsk and Tashkent respectively. The OrganisingCommittee ofthe Conference was composed ofSantos Gonzalez Jimenez from Oviedo University and Alberto Elduque and Consuelo Martinez from Zaragoza University. The Scientific Committee was made up of the following members: G. Benkart, University of Wisconsin, USA C. Burgueiio, University of La Frontera, CHILE A. Galindo, University of Madrid, SPAIN S. Gonzalez, University of Oviedo, SPAIN P. Holgate, University of London, ENGLAND N. Jacobson, University of Yale, USA W. Kaup, University of Tiibingen . GER IANY E. Kleinfeld, Univesity of Iowa. USA A. J. Kostrikin, University of Moscow, RUSSIA K. McCrimmon, University of Virginia, USA A. Micali, University of Montpellier, FRANCE R. Moody, University of Alberta, CANADA H. C. Myung, University of Nort. hern Iowa. USA S. Okubo, University of Rochester, USA M. Osborn, University of Wisconsin. USA A. Perez de Vargas, University of Madrid. SPAIN H. Petersson, Fern-University, GERI\1AW{ M. Racine, University of Otawa, CANADA A. Rodriguez, University of Granada, SPAIN I. Shestakov, University of Novosibirsk, RUSSIA A. Slinko, University of Moscow. RUSSIA E. Taft, University of Rutgers, USA E. Zelmanov, University of Wisconsin. USA Unfortunately, one ofthem, Professor Philip Holgate, died some months before the Conference took place.

This volume contains the proceedings of the Third International Conference on Non-Associative Algebra and Its Applications, held in Oviedo, Spain, July 12-17, 1993. The conference brought together specialists from all over the world who work in this field. All aspects of non-associative algebra are covered. Topics range from purely mathematical subjects to a wide spectrum of applications, and from state-of-the-art articles to overview papers. This collection should point the way for further research. The volume should be of interest to researchers in mathematics as well as those whose work involves the application of non-associative algebra in such areas as physics, biology and genetics.