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http://dx.doi.org/10.4134/BKMS.b190529

HOMOLOGICAL PROPERTIES OF SEMI-WAKAMATSU-TILTING MODULES  

Liu, Dajun (Institute of Mathematics School of Mathematics Sciences Nanjing Normal University)
Wei, Jiaqun (Institute of Mathematics School of Mathematics Sciences Nanjing Normal University)
Publication Information
Bulletin of the Korean Mathematical Society / v.57, no.3, 2020 , pp. 781-802 More about this Journal
Abstract
For a fixed semi-Wakamatsu-tilting module AT, 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 ∞-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.
Keywords
Semi-Wakamatsu-tilting modules; T-Auslander class; T-Bass class; ${\infty}$-T-cotorsionfree modules; T-adstatic modules;
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