Question
part of our yard has an area where there is some, what I call moss, growing and grass will not grow where this stuff is.  How can I get rid of this stuff?  Is there a problem with the soil make up, ie, natural nutrients that are missing to make this happen.  I have tried planting zoyzia there and it grew but took years to make a difference and part of that area (where the grass was planted) is still sparse.

Answer
As I understand your enquiry, this is a problem on the soil surface and not on the grass itself.
This condition is found in low areas of the lawn. Put down some topsoil to make the problem patch level with the surrounding lawn. For better results you can incorporate the material into the ground using a fork or similar tool.
'Moss' is a generic name for algae. Algae thrive on moist surfaces (even concrete). Raise the level if it is a low spot. If you wish you may try to find out if there is a hard pan below the surface. This will hinder drainage and produce the same effect. Dig with a posthole shovel to determine the condition below the surface and also to get some idea of the size of the problem.
Hard pans are physical (less difficult to remedy) or chemical (more complex).
Let us know how you progress with this interesting problem.