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Results tagged with ra.rings-and-algebras
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user 13215
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.
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
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
10
votes
Accepted
What do cluster algebras tell us about Grassmannians?
I'm afraid that as far as I know, the answer is no. That is, the cluster structure hasn't (yet) told us anything new. There are two reasons why we might have expected that, though.
Firstly, the G …
- 2,218