摘要
Let A be a finite dimensional k-algebra and T be a supportτ-tilting right A-module.In this note,we give lower and upper bounds for the global dimension of the endomorphism algebra End_(A)(T)under some mild conditions.Finally,we give some examples to illustrate that both the upper and lower bounds can be reached.
基金
supported by the National Natural Science Foundation of China(11971255,11901567,12071120)
supported by the Hunan Provincial Natural Science Foundation of China(2023JJ30008)
the National Natural Science Foundation of China(12371034).