On the Image Conjecture

Mathematics – Rings and Algebras

Scientific paper

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Scientific paper

The Image Conjecture was formulated by the third author, who showed that it
implied his Vanishing Conjecture, which is equivalent to the famous Jacobian
Conjecture. We prove various cases of the Image Conjecture and show how it
leads to another fascinating and elusive assertion that we here dub the
Factorial Conjecture. Various cases of the Factorial Conjecture are proved.

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