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Homological properties of semi-Wakamatsu-tilting modules

Jiaqun Wei|Dajun Liu
대한수학회 (The Korean Mathematical Society)|2020.05|대한수학회보 (Bulletin of the KMS)|제57권 제3호|pp. 781-802|DOI 10.4134/BKMS.b190529

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참고문헌

키워드

Semi-Wakamatsu-tilting modules$T$-Auslander class$T$-Bass class$\infty$-$T$-cotorsionfree modules$T$-adstatic modules
주제분류수학

초록

For a fixed semi-Wakamatsu-tilting module $_{A}T$, we generalize the concepts of Auslander class, Bass class, and investigate many homological properties of such classes. Moreover, we establish an equivalence between the class of $\infty$-$T$-cotorsionfree modules and a subclass of the class of $T$-adstatic modules. Finally, a similar version of Auslander-Bridger approximation theorem and a nice property of relative cotranspose are obtained.

Abstract

For a fixed semi-Wakamatsu-tilting module $_{A}T$, we generalize the concepts of Auslander class, Bass class, and investigate many homological properties of such classes. Moreover, we establish an equivalence between the class of $\infty$-$T$-cotorsionfree modules and a subclass of the class of $T$-adstatic modules. Finally, a similar version of Auslander-Bridger approximation theorem and a nice property of relative cotranspose are obtained.

참고문헌 (19)

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