On $U$-Dominant Dimension

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Let $Λ$ and $Γ$ be artin algebras and $_ΛU_Γ$ a faithfully balanced selforthogonal bimodule. We show that the $U$-dominant dimensions of $_ΛU$ and $U_Γ$ are identical. As applications to the results obtained, we give some characterizations of double dual functors (with respect to $_ΛU_Γ$) preserving monomorphisms and being left exact respectively.
13 pages

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Rings and Algebras, Representation Theory, 16E10; 16E30; 16D90

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http://salesiana.dossiersoluciones.com/handle/123456789/72438

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0409176
 http://arxiv.org/abs/math/0409176

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arXiv