Multi-algebra duplication

This paper was inspired by [5]. First, we define a new kind of duplication which differs from the usual one in that we have different multiplication tables for male and female gametes. [5] deals with the special case where the tables correspond to different recombination rates for males and females for two linked loci. Furthermore, we use the factoring and "multilinear technique" discussed in [2] and [3] to simplify the proofs in [5].