No abstract

For a module over a ring R we introduce the concept of a forcing linearity number which is a type of measure of how much local linearity is needed to imply global linearity. We determine this number for vector spaces, for modules over integral domains, not fields, and for modules over local rings, not integral domains.

No abstract

A theory is developed in terms of which all finite-dimensional near-vector spaces over p (p a prime) are characterized.

No abstract