It seems from the voting that the prevalent opinion is that they should be synonyms. (24 upvotes on yes answer, 9 upvotes on no answer.) So if somebody wishes to do so, perhaps it is already time to make synonym suggestions. — Martin Sleziak yesterday
6:17 AM
The reason I am hesitant to do so (despite that I posted that question) is that if I had the opportunity, I would vote to keep the tags maximal-ideals and prime-ideals or I would restrain from voting. (I do not feel very strongly about either of the two possibilities.)
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