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Results tagged with ac.commutative-algebra
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user 13215
Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
5
votes
Integer Gelfand-Kirillov dimension
You might find this paper:
Agata Smoktunowicz, MR 2221134 There are no graded domains with GK dimension strictly between 2 and 3, Invent. Math. 164 (2006), no. 3, 635--640.
together with its referen …
- 2,218
5
votes
Accepted
What are the cluster algebra structures on $Gr(3,5)$?
The canonical source for the cluster structure on (all) Grassmannians is the aptly-titled
Joshua S. Scott, MR 2205721 Grassmannians and cluster algebras, Proc. London Math. Soc. (3) 92 (2006), no. 2, …
- 2,218
5
votes
Accepted
Nondegenerate pairings versus perfect pairings for finitely generated projective modules
No: for $R=\mathbb{Z}$ and even for $M,N$ both free (i.e. free Abelian groups), non-degenerate doesn't imply perfect. (You get finite index sublattices, so torsion quotients, unlike the case of vector …
- 2,218