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Canonical's Steam Snap is Causing Headaches for Valve
(www.omgubuntu.co.uk)
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Linux is a family of open source Unix-like operating systems based on the Linux kernel, an operating system kernel first released on September 17, 1991 by Linus Torvalds. Linux is typically packaged in a Linux distribution (or distro for short).
Distributions include the Linux kernel and supporting system software and libraries, many of which are provided by the GNU Project. Many Linux distributions use the word "Linux" in their name, but the Free Software Foundation uses the name GNU/Linux to emphasize the importance of GNU software, causing some controversy.
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Usually what you describe is what they do. Someone "owns" the AUR package (and it's not quite literally any random user IIRC - you have to be accepted as an AUR maintainer I think) and they then take on the responsibility to repackage it whenever the author (you) releases a new version. There is also a mechanism for users to flag the AUR package as out of date in case that maintainer misses a release, and if they abandon it (or even if folks just don't like how they package it) someone else can package it, assuming someone else wants to.
Sometimes the AUR maintainer is the dev themselves. I can't think of a good example currently, but I know I've seen it before.
I don't know the process for how things end up in the official repos, but I would guess it's similar to however any other distros identify software they want to officially package.