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Noncommutative fitting invariants and improves annihilation results (Preliminary version)

URN to cite this document:
urn:nbn:de:bvb:355-epub-235693
DOI to cite this document:
10.5283/epub.23569
Johnston, Henri ; Nickel, Andreas
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Date of publication of this fulltext: 19 Mar 2012 07:31


Abstract

To each finitely presented module M over a commutative ring R one can associate an R-ideal FitR(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 in a finite dimensional separable algebra, where o is an ...

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