>No. In VFP ID will be appropriate to the record where MIN value found. Its not an omission in SQL for VFP.

Did you use the data from the example I gave you before?
try this:

CREATE CURSOR cutestme ( ;
  iid i, ;
  ccategory c(10), ;
  nvalue n(5,2))

FOR ji = 1 TO 5
  INSERT INTO cutestme ;
    VALUES (ji, "Category", MOD(ji,2))
ENDFOR
LOCATE
BROWSE LAST NOWAIT

SELECT ccategory, iid, MIN(nvalue) AS min_value ;
  FROM cutestme ;
  GROUP BY ccategory ;
  INTO CURSOR cugroup
BROWSE LAST NOWAIT

The result set is
IID = 5
CCATEGORY = "Category"
MIN_VALUE = 0

The record with the IID = 5 does not have NVALUE=0 - so this is not appropriate to the record where it was found.

Grouping by CCATEGORY only in this case will work if:
1) CCATEGORY is unique - but in that case, there's no need to group by it, since you'll get all records back anyway.

2) CCATEGORY, IID combination is always unique - but, then what's the problem with including IID in the GROUP BY list?

3) NVALUE will always have only one record with the minimum value by CCATEGORY, but the chances of this happening as a rule is slim.