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Results tagged with fitting-ideals
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user 2900
8
votes
1
answer
312
views
When two determinantal ideals together generate a power of the maximal ideal?
(A somewhat technical question, but maybe it is well known.)
Consider matrices over the ring $k[[x_1,\dots,x_n]]$, whose entries vanish at the origin (i.e. belong to the maximal ideal $\mathfrak{m} …
- 2,232
3
votes
0
answers
318
views
a generalization of the annihilator of cokernel ideal (some new invariants of modules?) [closed]
Let $R$ be a (commutative, associative, unital) ring, consider a homomorphism of some (finitely generated) free $R$-modules $E\stackrel{A}{\rightarrow}F$. Say $rank(F)=m$.
The basic invariants of $A$ …
- 2,232
1
vote
1
answer
602
views
When fitting ideals determine the module?
Let $M$ be a module over a local ring $(R,m)$, everything is finitely generated/presented. The fitting ideals, $I_j(M)$ carry a lot of information about the module. When do they actually determine the …
- 2,232