Annihilating complexes of modules
1999; Aarhus University Library; Volume: 84; Issue: 1 Linguagem: Inglês
10.7146/math.scand.a-13929
ISSN1903-1807
Autores Tópico(s)Free Radicals and Antioxidants
ResumoFor a complex X of modules over a commutative ring R the weak annihilator is defined by Ann R X iPZ Ann R H i X , the intersection of the annihilators of the homology modules, homotopy annihilator hann R X as the kernel of the map R 3 H 0 Hom R X Y X, and when X is homologically bounded, say H i X 0 for jij b n, the small annihilator is ann R X Ann R H Àn X Á Á Á Ann R H n X, the product of the annihilators of the homology modules.Various properties of annihilators are investigated; in particular it is proved that for suitably bounded complexes X and Y the homotopy annihilator hann R X is contained in hann R Hom R X Y Y and hann R X v
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