On U-codominant dimension.

Autor: Weiling Song, Xi Tang, Zhaoyong Huang
Předmět:
Zdroj: Kyoto Journal of Mathematics; 2024, Vol. 64 Issue 4, p743-758, 16p
Abstrakt: Let R and S be semiregular rings and U a semidualizing (R,S)-bimodule. We show that the U-codominant dimensions of RU and US are identical. As an application, we get that the U-codominant dimension of U is at least two if and only if the functorU ©S HomR(U,--) is right exact and if and only if the functorHomR(U,U ©S --) is left exact.We also get some new equivalent characterizations of (n-)Auslander algebras. [ABSTRACT FROM AUTHOR]
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