Explanation of a joke on abelian groups (grapes).

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Q: What's purple and commutes? A: An Abelian grape.

Q: What is lavender and commutes? A: An Abelian semigrape.

Q: What's purple, commutes, and is worshipped by a limited number of people? A: A finitely-venerated Abelian grape.

Q: What's nutritious and commutes? A: An Abelian soup

I think the first one is because Abelian implies commutativity and group sounds like grape. The second one is because lavender is not really purple so it is a semi-group, not necessarily a group. The third one is a play on "finitely generated". I don't understand the last one.

Am I missing anything?

Thank you and regards.

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As far as I know the last one is just because "soup" sounds like "group." You're spot on on the first three.

I think these four jokes, as someone who has heard their punch lines a bit too many times, are the epitome of bad math jokes.

The only reason people find them funny is because it uses the word Abelian, so in that way it's kind of an inside joke because most people not involved in mathematics wouldn't know what that means.

The most egregious is the second joke. It only works because of the set up of the first! In what context does the thought process "lavender is not that purple-ish, so it's only a semi-grape" (what?) make any sense?!