On classes defining a homological dimension

Details On classes defining a homological dimension On classes defining a homological dimension

2008-01-09

arxiv.org/abs/0801.1462v1

Mathematics

Rings and Algebras

to appear in Contribution to Module Theory, de Gruyter 2007

Scientific paper

A class $\mathcal F$ of objects of an abelian category $\mathcal A$ is said
to define a \emph{homological dimension} if for any object in $\mathcal A$ the
length of any $\mathcal F$-resolution is uniquely determined. In the present
paper we investigate classes satisfying this property.

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