Associated graded rings of one-dimensional analytically irreducible rings II

Details Associated graded rings of one-dimensional analytically irreducible rings II Associated graded rings of one-dimensional analytically irreducible rings II

2010-10-19

arxiv.org/abs/1010.3952v2

Mathematics

Commutative Algebra

revised argument for Lemma 1.1, results unchanged

Scientific paper

Lance Bryant noticed in his thesis that there was a flaw in our paper "Associated graded rings of one-dimensional analytically irreducible rings", J. Algebra 304 (2006), 349-358. It can be fixed by adding a condition, called the BF condition. We discuss some equivalent conditions, and show that they are fulfilled for some classes of rings, in particular for our motivating example of semigroup rings. Furthermore we discuss the connection to a similar result, stated in more generality, by Cortadella-Zarzuela. Finally we use our result to conclude when a semigroup ring in embedding dimension at most three has an associated graded which is a complete intersection.

Affiliated with

Also associated with

No associations

Rating

Associated graded rings of one-dimensional analytically irreducible rings II does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Associated graded rings of one-dimensional analytically irreducible rings II, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Associated graded rings of one-dimensional analytically irreducible rings II will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-269201