create or replace trigger testT
AFTER INSERT OR UPDATE OR DELETE ON A
for each row
declare
-- local variables here
begin
IF INSERTING THEN
     INSERT INTO b(a,b) VALUES(:NEW.a,:NEW.b);
ELSIF DELETING THEN
    DELETE FROM b WHERE a=:OLD.a;
ELSE
     UPDATE b SET b=:NEW.b WHERE a=:OLD.a;
END IF;
end testT;

SQL> desc a
Name Type         Nullable Default Comments
---- ------------ -------- ------- --------
A    VARCHAR2(20) Y                        
B    VARCHAR2(20) Y                        

SQL> desc b;
Name Type         Nullable Default Comments
---- ------------ -------- ------- --------
A    VARCHAR2(20) Y                        
B    VARCHAR2(20) Y                        

SQL> insert into a values('a','b');

1 row inserted

SQL> commit;

Commit complete

SQL> select * from b;

A                    B
-------------------- --------------------
a                    b

SQL> update a set b='c' where a='a';

1 row updated

SQL> commit;

Commit complete

SQL> select * from b;

A                    B
-------------------- --------------------
a                    c

SQL> delete from a where a='a';

1 row deleted

SQL> commit;

Commit complete

SQL> select * from b;

A                    B
-------------------- --------------------

SQL>