It's a pointer thing. It's the same in C/C++, Java etc. We've gotten so used to closures that we've sort of expect regular pointers to work the same. But pointers/references are simple indirections.
Let's walk through your code:
let a = {};
Create an object ({}) and point the variable a to that object.
function foo() {
a = 'test';
};
Declare a function foo() that overwrites the value of a with a string. Now, if you remember your C/assembly then you'd remember that the value of a pointer is the address of the thing it points to. So the original value of a is not {} but the address to that object. When you overwrite a with a string that object still exist and can be garbage collected unless something else points to it.
module.exports.foo = foo;
module.exports.a = a;
Export two properties, 1. foo which points to a function and 2. a which points to the same object that a is pointing to. Remember, just like in C/Java this does not mean that module.exports.a points to a but that it points to {}. Now you have two variables pointing to the same object {}.
Now, when you do:
a.foo();
All you're doing is changing the enclosed variable a to point to a string instead of the original object. You haven't done anything to a.a at all. It's still pointing to {}.
Workarounds
There are two ways to get what you want. First, the OO way. Don't create a closure for a, make it a regular object property:
function foo() {
this.a = 'test';
};
module.exports.foo = foo;
module.exports.a = {};
This will work as expected because modules in node.js are proper singletons so they can be treated as regular objects.
The second way to do this to use a getter to get the enclosed a. Remember that closures only work with functions, not objects. So just assigning the variable to a property like you did results in a regular pointer operation not a closure. The workaround is this:
let a = {};
function foo() {
a = 'test';
};
function getA() {
return a; // this works because we've created a closure
}
module.exports.foo = foo;
module.exports.getA = getA;
Now you can do:
a.foo();
a.getA(); // should return 'test'
ato be an object. Object contains key-value pair. So, try writinga={b: 'test'}in your first example.