基于投射极小右决定子的Nakayama代数  

Nakayama Algebras via Projective Minimal Right Determiners

作　　者：吴笑醒 张毅 蓝天 武霄 WU Xiaoxing;ZHANG Yi;LAN Tian;WU Xiao(Department of Mathematics and Science,Sanjiang University,Nanjing,Jiangsu,210012,P.R.China;School of Mathematics and Statistics,Nanjing University of Information Science and Technology,Nanjing,Jiangsu,210044,P.R.China)

机构地区：[1]三江学院数理部,江苏南京210012 [2]南京信息工程大学数学与统计学院,江苏南京210044

出　　处：《数学进展》2024年第4期757-768,共12页Advances in Mathematics（China）

基　　金：Supported by NSFC (Nos.12101316,11801275)。

摘　　要：设路代数Λ=KQ/I是Nakayama代数.本文计算了modΛ中不可分解模之间所有不可约态射的极小右决定子.进一步,基于投射极小右决定子,得到了Dynkin型A_(n)或Euclidean型A_(n)路代数Λ=KQ/I何时是Nakayama代数的一个等价刻画.We calculate the minimal right determiners of all irreducible morphisms between indecomposable modules in mod A withΛ=KQ/Ia Nakayama algebra,and further obtain an equivalent characterization of when a path algebra A=KQ/I of Dynkin type A_(n) or Euclidean type A_(n) is a Nakayama algebra via the projective minimal right determiners.

关 键 词：由对象决定的态射 投射极小右决定子 Nakayama代数 

分 类 号：O154.1[理学—数学]