Not feeling anyhow special though :D It was yet another exam (wait - we were wearing weird clothes). By the way, I pretty messed up the exam :) Even though the outcome was eventually the best possible (modulo my bad feeling). It's different, at the exam and when preparing oneself at home... I hate exams.... OK, it's over, keep smiling :-D
Looking forward to the summer. Need rest after all those bachelor years. Almost three years working without break*. Even though the rewards are sweet (but don't try to guess, what I mean).
Nice summer to you as well, dear reader. Perhaps we meet somewhere on the road.
*not true, I got out of Prague for a week a few times...
P.S.
My debt (there were others, but this was especially bugging me and I am particularly ashamed of it):
The following are equivalent (hopefully true now) for R a domain:
- R is a hereditary domain.
- Every fractional ideal of R is projective (as a R-module)
- The semigroup of non-zero fractional ideals of R is a group.
- Every non-zero prime ideal of R is invertible.
- Every proper non-zero ideal of R is a (finite) product of prime ideals .
- R is integrally closed, noetherian, of Krull dimension 1 (i.e. every prime ideal is maximal).
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