2025/07/12 by Sun, Juxiang, Zhao, Guoqiang, Zheng, Junling
#16D20 #16E30 #FOS: Mathematics #Representation Theory (math.RT)
paper · doi:10.48550/arxiv.2507.09286
In this paper, we investigate some transfer properties of ω-left approximation dimensions of modules of stably equivalent Artin algebras having neither nodes nor semisimple direct summands. As applications, we give a one-to-one correspondence between basic (Wakamatsu) tilting modules, and prove that the Wakamatsu tilting conjecture is preserved under those equivalences.