I have a PostgreSQL database, 3 tables and my schema as follows.

CREATE TABLE table_a (
id SERIAL PRIMARY KEY,
name_a VARCHAR(255)
);
CREATE TABLE table_b (
name_b VARCHAR(255)
) INHERITS (table_a);
CREATE TABLE table_c (
name_c VARCHAR(255)
) INHERITS (table_a);
insert into table_b (name_a, name_b) values('table A','table B1');
insert into table_b (name_a, name_b) values('table A','table B2');
insert into table_c (name_a, name_c) values('table A','table C1');
insert into table_c (name_a, name_c) values('table A','table C2');
select * from table_a;
select * from table_b;
select * from table_c;
Now i want to add an association between Table Band Table C like this:
I do not know if this is possible when we inherit the same table ?
I do not see how I can create this association ?

