On $U$-Dominant Dimension

Details On $U$-Dominant Dimension On $U$-Dominant Dimension

2004-09-10

arxiv.org/abs/math/0409176v1

Mathematics

Rings and Algebras

13 pages

Scientific paper

Let $\Lambda$ and $\Gamma$ be artin algebras and $_{\Lambda}U_{\Gamma}$ a faithfully balanced selforthogonal bimodule. We show that the $U$-dominant dimensions of $_{\Lambda}U$ and $U_{\Gamma}$ are identical. As applications to the results obtained, we give some characterizations of double dual functors (with respect to $_{\Lambda}U_{\Gamma}$) preserving monomorphisms and being left exact respectively.

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