Quadratic Jordan superpairs covered by grids

In this paper we lay the foundation for a theory of Jordan superpairs defined over (super)commutative superrings. The framework we are proposing has two novelties: we allow scalars of even and odd parity and we do not assume that 2 is invertible in our base superring. To demonstrate that it is possible to work in this generality we classify Jordan superpairs covered by a grid.

This is a revised version (1 May 2003) of a paper posted originally on 1 Sep 2000. The paper will appear in the Journal of Algebra.


E. Neher <neher@uottaw.ca>