In the rings studied in Section 17.4 a nonzero prime ideal is divisible only by itself and by o on the basis of Axiom II; thus, in that section there are no lower prime ideals but o. Since every ideal a ne o is divisible by a prime ideal distinct from o (proof: from among all the divisors of a distinct from o choose a maximal one; since this ideal is maximal it is also prime), it follows that a cannot be quasi-equal to o.

I teld you what happened.

In these manuscripts we are again in an atmosphere of eotens and trolls, there are traces of even older terrors, when the first Teuton settlers in Europe struggled with the aborigines who lived in caves[.]

You can do anything, if you put your mind to it.