Creating modules to be required in other files in Javascript?

In Node.js I can use a module like this:

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sys = require("sys");

How do I create my own module like "sys" so that I can require it from other files?

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The API contains an example of writing your own module: http://nodejs.org/api.html#modules-312

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You probably want to look into CommonJS http://www.commonjs.org/. Node follows this protocol for require(). Some of the documentation on CommonJS describes projects that implement this in the browser.