The problem of continuing an isometry of a subspace of a quadratic space into the space up
to a metric automorphism of the whole space is considered. In the case when the quadratic …

Suppose K is an algebra with involution over k and A, B are K-modules on which are defined
ɛ-Hermitian K-invariant forms with values in k. Metric homomorphisms of the module A into …

It is proved that an Artinian Noetherian module over a ring with involution on which there is
defined a nondegenerate antisymmetric invariant bilinear form decomposes into a direct …