  We introduce the notion of Krull super-dimension of supermodules over certain
super-commutative Noetherian super-rings. We investigate how this notion
relates to the notion of odd regular sequence introduced by T.Schmitt and how
it behaves with respect to the transition to the graded and bigraded
supermodules and super-rings associated with the original ones. We also apply
these results to the super-dimension theory of superschemes of finite type and
their morphisms.
