>select distinct A.field1, B.field4, B.field5 from A, B where A.field1 = A.field3
>
>I get:
>
>field1 field4 field5
>0001 abc 01
>0001 abc 02
>0002 cde 11
>0002 cde 12
>0002 cde 13

Remove b.field5 from the above query and you should be the results that you're looking for.

SELECT DISTINCT a.field1, b.field4
FROM a INNER JOIN b ON a.field1 = b.field3

-Mike