Homological properties of semi-Wakamatsu-tilting modules
Bull. Korean Math. Soc.
Published online February 13, 2020
Dajun Liu and Jiaqun Wei
Nanjing normal university
Abstract : For a fixed semi-Wakamatsu-tilting moduleAT, 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 8-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 cΣTpMq are obtained.
Keywords : semi-Wakamatsu-tilting modules, T-Auslander class, T-Bass class, 8-T-cotorsionfree modules, T-adstatic modules.
MSC numbers : Primary 18G35 16G10 Secondary 18E30 16E05
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