Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noncommutative Fitting invariants and improved annihilation results   To each finitely presented module M over a commutative ring R one can
associate an R-ideal Fit_R(M) which is called the (zeroth) Fitting ideal of M
over R and which is always contained in the R-annihilator of M. In an earlier
article, the second author generalised this notion by replacing R with a (not
necessarily commutative) o-order Lambda in a finite dimensional separable
algebra, where o is an integrally closed complete commutative noetherian local
domain. To obtain annihilators, one has to multiply the Fitting invariant of a
(left) Lambda-module M by a certain ideal H(Lambda) of the centre of Lambda. In
contrast to the commutative case, this ideal can be properly contained in the
centre of Lambda. In the present article, we determine explicit lower bounds
for H(Lambda) in many cases. Furthermore, we define a class of `nice' orders
Lambda over which Fitting invariants have several useful properties such as
good behaviour with respect to direct sums of modules, computability in a
certain sense, and H(Lambda) being the best possible.

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The categories of this paper are: adap-org
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The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin