Theory of complete orthogonal direct decompositions of vectorspaces | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2012. № 1(15).

A theory is constructed for the complete orthogonal(with respect to generalized orthogonalities defined by certain partial symmetricbilinear functions) direct decompositions of vector spaces V such that the quotient of Vby a certain particular subspace is finite-dimensional. The main result of the theory is adescription of all such decompositions. This theory has an application to the theory ofdirect decompositions of p-ary functions, where p is a prime.