The fitting-ideals tag has no usage guidance.

**3**

votes

**0**answers

168 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 $A$ ...

**0**

votes

**0**answers

60 views

### Fitting ideals and a Grassmannian construction

Let $L$ be a locally free and finitely presented sheaf over a Noetherian scheme $X$ and
$$ E\overset{\varphi}\to F \to L \to 0$$
a free presentation of $L$, where $E$ and $F$ have finite ranks $n$ ...

**7**

votes

**1**answer

255 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 ...

**1**

vote

**1**answer

327 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 ...