@contrex,
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 Many dictionaries. As a brief definition I think it's quite good. Can you suggest a better one?
 
I guess I haven't seen those dictionaries.  Personally, I wouldn't call religion an "institution."  I might call it a creed, a set of beliefs, or something like that.
P.S. I decided to look at a dictionary.  The first online one I came across gives this:
: the belief in a god or in a group of gods
: an organized system of beliefs, ceremonies, and rules used to worship a god or a group of gods
: an interest, a belief, or an activity that is very important to a person or group
http://www.merriam-webster.com/dictionary/religion