CAJ | 학술논문

代数表示理论是上个世纪七十年代初兴起的代数学的-个新的分支,而倾斜理论是研究代数表示理论的重要工具之一.本文主要对D_n型路代数倾斜模在其对应的AR-箭图上的结构特点进行研究.通过对D_n型路代数A的AR-箭图Γ_A分析,证明了:D_n型路代数倾斜模T的-个必要条件是,<T>中至少有三个边缘点.
대수표시이론시상개세기칠십년대초흥기적대수학적-개신적분지,이경사이론시연구대수표시이론적중요공구지일.본문주요대D_n형로대수경사모재기대응적AR-전도상적결구특점진행연구.통과대D_n형로대수A적AR-전도Γ_A분석,증명료:D_n형로대수경사모T적-개필요조건시,<T>중지소유삼개변연점.
Representation theory of algebras is a new branch of algebra which began at the seventies of the last century. Tilting theory is an important tool to study representation theory of algebras. The main purpose of this paper is to study structural characteristics of the tilting module over path algebras of type D_n in theirs AR-quivers. It takes advantages of AR-quiver analysis. The paper shows that if T is a tilting A-module over a path algebra of type D_n, then there are at least three points corresponding indecomposable direct summands of T in the edges of Γ_A.