Biometrical Letters vol. 46(1), 2009, pp. 1-14


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BINARY OPERATIONS ON PRIME BASIS FACTORIALS

V. Jesus1, J.T. Mexia1, S. Oliveira2

1Faculty of Science and Technology-Mathematics Department,New University of Lisbon, Monte da Caparica 2829-516 Caparica, Portugal, e-mail: veramjesus@gmail.com, jtm@fct.unl.pt
2College of Business Administration-Polytechnic Institute of Setúbal,Estefanilha 2914-503 Setubal, Portugal, e-mail: soliveira@esce.ips.pt


Binary operations and commutative Jordan algebras may be used to define product models in which the treatments are a combination of those in the initial models and nested models in which each treatment of a model nests all the treatments of another model. This technique is applied here to prime basis factorials. The notion of a model strictly associated with a commutative Jordan algebra is introduced and applied to prime basis factorials.


commutative Jordan algebras, binary operations, prime basis factorials, associated models