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Non-commutative rings and algebras, non-associative algebras, universal algebra and lattice theory, linear algebra, semigroups. For questions specific to commutative algebra (that is, rings that are assumed both associative and commutative), rather use the tag ac.commutative-algebra.

4 votes
2 answers
1k views

Is the normalisation of an integral noetherien dimension one ring a finite morphism?

This feels like something I should know but I can't find an answer in Liu or in Atiyah-MacDonald, or a counter-example. To state the question again: let $A$ be an integral Noetherien ring of Krull di …
name's user avatar
  • 1,347
1 vote
2 answers
523 views

Are hensel valuation rings N2?

This seems like the kind of thing an expert should be able to answer off the top of their head: Recall that a valuation ring is an integral domain $A$ such that for every $a \in Frac(A)$ we have eith …
name's user avatar
  • 1,347
3 votes

Are hensel valuation rings N2?

Exercise VI.8.3 from Bourbaki's Algèbre Commutative gives am example of a hensel discrete valuation ring and a finite (inseparable) extension of its fraction field for which the normalisation is not …
name's user avatar
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